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8.05 Quantum Physics II (MIT) 8.05 Quantum Physics II (MIT)

Description

This course, along with the next course in this sequence (8.06, Quantum Physics III) in a two-course sequence covering quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen This course, along with the next course in this sequence (8.06, Quantum Physics III) in a two-course sequence covering quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen

Subjects

General formalism of quantum mechanics: states | General formalism of quantum mechanics: states | operators | operators | Dirac notation | Dirac notation | representations | representations | measurement theory | measurement theory | Harmonic oscillator: operator algebra | Harmonic oscillator: operator algebra | states | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | bound and scattering states | qualitative analysis of wavefunctions | qualitative analysis of wavefunctions | Angular momentum: operators | Angular momentum: operators | commutator algebra | commutator algebra | eigenvalues and eigenstates | eigenvalues and eigenstates | spherical harmonics | spherical harmonics | Spin: Stern-Gerlach devices and measurements | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | nuclear magnetic resonance | spin and statistics | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | spin systems | allotropic forms of hydrogen | allotropic forms of hydrogen | Angular momentum | Angular momentum | Harmonic oscillator | Harmonic oscillator | operator algebra | operator algebra | Spin | Spin | Stern-Gerlach devices and measurements | Stern-Gerlach devices and measurements | central potentials and the radial equation | central potentials and the radial equation | Clebsch-Gordan series and coefficients | Clebsch-Gordan series and coefficients | quantum physics | quantum physics

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8.05 Quantum Physics II (MIT) 8.05 Quantum Physics II (MIT)

Description

Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum. Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

Subjects

General formalism of quantum mechanics: states | General formalism of quantum mechanics: states | operators | operators | Dirac notation | Dirac notation | representations | representations | measurement theory | measurement theory | Harmonic oscillator: operator algebra | Harmonic oscillator: operator algebra | states | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | bound and scattering states | qualitative analysis of wavefunctions | qualitative analysis of wavefunctions | Angular momentum: operators | Angular momentum: operators | commutator algebra | commutator algebra | eigenvalues and eigenstates | eigenvalues and eigenstates | spherical harmonics | spherical harmonics | Spin: Stern-Gerlach devices and measurements | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | nuclear magnetic resonance | spin and statistics | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | spin systems | allotropic forms of hydrogen | allotropic forms of hydrogen | Angular momentum | Angular momentum | Harmonic oscillator | Harmonic oscillator | operator algebra | operator algebra | Spin | Spin | Stern-Gerlach devices and measurements | Stern-Gerlach devices and measurements | central potentials and the radial equation | central potentials and the radial equation | Clebsch-Gordan series and coefficients | Clebsch-Gordan series and coefficients | quantum physics | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogen | and allotropic forms of hydrogen

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16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLAB&#1 This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLAB&#1

Subjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derviative | substantial derviative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamics | Incompressible | Incompressible

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16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.

Subjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derivative | substantial derivative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamics

License

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16.13 Aerodynamics of Viscous Fluids (MIT) 16.13 Aerodynamics of Viscous Fluids (MIT)

Description

The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included. The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.

Subjects

aerodynamics | aerodynamics | viscous fluids | viscous fluids | viscosity | viscosity | fundamental theorem of kinematics | fundamental theorem of kinematics | convection | convection | vorticity | vorticity | strain | strain | Eulerian description | Eulerian description | Lagrangian description | Lagrangian description | conservation of mass | conservation of mass | continuity | continuity | conservation of momentum | conservation of momentum | stress tensor | stress tensor | newtonian fluid | newtonian fluid | circulation | circulation | Navier-Stokes | Navier-Stokes | similarity | similarity | dimensional analysis | dimensional analysis | thin shear later approximation | thin shear later approximation | TSL coordinates | TSL coordinates | boundary conditions | boundary conditions | shear later categories | shear later categories | local scaling | local scaling | Falkner-Skan flows | Falkner-Skan flows | solution techniques | solution techniques | finite difference methods | finite difference methods | Newton-Raphson | Newton-Raphson | integral momentum equation | integral momentum equation | Thwaites method | Thwaites method | integral kinetic energy equation | integral kinetic energy equation | dissipation | dissipation | asymptotic perturbation | asymptotic perturbation | displacement body | displacement body | transpiration | transpiration | form drag | form drag | stall | stall | interacting boundary layer theory | interacting boundary layer theory | stability | stability | transition | transition | small-perturbation | small-perturbation | Orr-Somemerfeld | Orr-Somemerfeld | temporal amplification | temporal amplification | spatial amplification | spatial amplification | Reynolds | Reynolds | Prandtl | Prandtl | turbulent boundary layer | turbulent boundary layer | wake | wake | wall layers | wall layers | inner variables | inner variables | outer variables | outer variables | roughness | roughness | Clauser | Clauser | Dissipation formula | Dissipation formula | integral closer | integral closer | turbulence modeling | turbulence modeling | transport models | transport models | turbulent shear layers | turbulent shear layers | compressible then shear layers | compressible then shear layers | compressibility | compressibility | temperature profile | temperature profile | heat flux | heat flux | 3D boundary layers | 3D boundary layers | crossflow | crossflow | lateral dilation | lateral dilation | 3D separation | 3D separation | constant-crossflow | constant-crossflow | 3D transition | 3D transition | compressible thin shear layers | compressible thin shear layers

License

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8.512 Theory of Solids II (MIT) 8.512 Theory of Solids II (MIT)

Description

This is the second term of a theoretical treatment of the physics of solids. Topics covered include linear response theory; the physics of disorder; superconductivity; the local moment and itinerant magnetism; the Kondo problem and Fermi liquid theory. This is the second term of a theoretical treatment of the physics of solids. Topics covered include linear response theory; the physics of disorder; superconductivity; the local moment and itinerant magnetism; the Kondo problem and Fermi liquid theory.

Subjects

Linear response theory | Linear response theory | Fluctuation dissipation theorem | Fluctuation dissipation theorem | Scattering experiment | Scattering experiment | f-sum rule | f-sum rule | Physics of disorder | Physics of disorder | Kubo formula for conductivity | Kubo formula for conductivity | Conductance and sensitivity to boundary conditions | Conductance and sensitivity to boundary conditions | Scaling theory of localization | Scaling theory of localization | Mott variable range hopping | Mott variable range hopping | Superconductor | Superconductor | Transverse response | Transverse response | Landau diamagnetism | Landau diamagnetism | Microscopic derivation of London equation | Microscopic derivation of London equation | Effect of disorder | Effect of disorder | Quasiparticles and coherence factors | Quasiparticles and coherence factors | Tunneling and Josephson effect | Tunneling and Josephson effect | Magnetism | Magnetism | Local moment magnetism | Local moment magnetism | exchange interaction | exchange interaction | Ferro- and anti-ferro magnet and spin wave theory | Ferro- and anti-ferro magnet and spin wave theory | Band magnetism | Band magnetism | Stoner theory | Stoner theory | spin density wave | spin density wave | Local moment in metals | Local moment in metals | Friedel sum rule | Friedel sum rule | Friedel-Anderson model | Friedel-Anderson model | Kondo problem | Kondo problem | Fermi liquid theory | Fermi liquid theory | Electron Green?s function | Electron Green?s function

License

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8.012 Physics I: Classical Mechanics (MIT) 8.012 Physics I: Classical Mechanics (MIT)

Description

This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies. This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies.

Subjects

elementary mechanics | elementary mechanics | Newton's laws | Newton's laws | momentum | momentum | energy | energy | angular momentum | angular momentum | rigid body motion | rigid body motion | non-inertial | non-inertial

License

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IV (MIT) IV (MIT)

Description

Includes audio/video content: AV selected lectures, AV faculty introductions, AV special element video. The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines. Includes audio/video content: AV selected lectures, AV faculty introductions, AV special element video. The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.

Subjects

Unified | Unified | Unified Engineering | Unified Engineering | aerospace | aerospace | CDIO | CDIO | C-D-I-O | C-D-I-O | conceive | conceive | design | design | implement | implement | operate | operate | team | team | team-based | team-based | discipline | discipline | materials | materials | structures | structures | materials and structures | materials and structures | computers | computers | programming | programming | computers and programming | computers and programming | fluids | fluids | fluid mechanics | fluid mechanics | thermodynamics | thermodynamics | propulsion | propulsion | signals | signals | systems | systems | signals and systems | signals and systems | systems problems | systems problems | fundamentals | fundamentals | technical communication | technical communication | graphical communication | graphical communication | communication | communication | reading | reading | research | research | experimentation | experimentation | personal response system | personal response system | prs | prs | active learning | active learning | First law | First law | first law of thermodynamics | first law of thermodynamics | thermo-mechanical | thermo-mechanical | energy | energy | energy conversion | energy conversion | aerospace power systems | aerospace power systems | propulsion systems | propulsion systems | aerospace propulsion systems | aerospace propulsion systems | heat | heat | work | work | thermal efficiency | thermal efficiency | forms of energy | forms of energy | energy exchange | energy exchange | processes | processes | heat engines | heat engines | engines | engines | steady-flow energy equation | steady-flow energy equation | energy flow | energy flow | flows | flows | path-dependence | path-dependence | path-independence | path-independence | reversibility | reversibility | irreversibility | irreversibility | state | state | thermodynamic state | thermodynamic state | performance | performance | ideal cycle | ideal cycle | simple heat engine | simple heat engine | cycles | cycles | thermal pressures | thermal pressures | temperatures | temperatures | linear static networks | linear static networks | loop method | loop method | node method | node method | linear dynamic networks | linear dynamic networks | classical methods | classical methods | state methods | state methods | state concepts | state concepts | dynamic systems | dynamic systems | resistive circuits | resistive circuits | sources | sources | voltages | voltages | currents | currents | Thevinin | Thevinin | Norton | Norton | initial value problems | initial value problems | RLC networks | RLC networks | characteristic values | characteristic values | characteristic vectors | characteristic vectors | transfer function | transfer function | ada | ada | ada programming | ada programming | programming language | programming language | software systems | software systems | programming style | programming style | computer architecture | computer architecture | program language evolution | program language evolution | classification | classification | numerical computation | numerical computation | number representation systems | number representation systems | assembly | assembly | SimpleSIM | SimpleSIM | RISC | RISC | CISC | CISC | operating systems | operating systems | single user | single user | multitasking | multitasking | multiprocessing | multiprocessing | domain-specific classification | domain-specific classification | recursive | recursive | execution time | execution time | fluid dynamics | fluid dynamics | physical properties of a fluid | physical properties of a fluid | fluid flow | fluid flow | mach | mach | reynolds | reynolds | conservation | conservation | conservation principles | conservation principles | conservation of mass | conservation of mass | conservation of momentum | conservation of momentum | conservation of energy | conservation of energy | continuity | continuity | inviscid | inviscid | steady flow | steady flow | simple bodies | simple bodies | airfoils | airfoils | wings | wings | channels | channels | aerodynamics | aerodynamics | forces | forces | moments | moments | equilibrium | equilibrium | freebody diagram | freebody diagram | free-body | free-body | free body | free body | planar force systems | planar force systems | equipollent systems | equipollent systems | equipollence | equipollence | support reactions | support reactions | reactions | reactions | static determinance | static determinance | determinate systems | determinate systems | truss analysis | truss analysis | trusses | trusses | method of joints | method of joints | method of sections | method of sections | statically indeterminate | statically indeterminate | three great principles | three great principles | 3 great principles | 3 great principles | indicial notation | indicial notation | rotation of coordinates | rotation of coordinates | coordinate rotation | coordinate rotation | stress | stress | extensional stress | extensional stress | shear stress | shear stress | notation | notation | plane stress | plane stress | stress equilbrium | stress equilbrium | stress transformation | stress transformation | mohr | mohr | mohr's circle | mohr's circle | principal stress | principal stress | principal stresses | principal stresses | extreme shear stress | extreme shear stress | strain | strain | extensional strain | extensional strain | shear strain | shear strain | strain-displacement | strain-displacement | compatibility | compatibility | strain transformation | strain transformation | transformation of strain | transformation of strain | mohr's circle for strain | mohr's circle for strain | principal strain | principal strain | extreme shear strain | extreme shear strain | uniaxial stress-strain | uniaxial stress-strain | material properties | material properties | classes of materials | classes of materials | bulk material properties | bulk material properties | origin of elastic properties | origin of elastic properties | structures of materials | structures of materials | atomic bonding | atomic bonding | packing of atoms | packing of atoms | atomic packing | atomic packing | crystals | crystals | crystal structures | crystal structures | polymers | polymers | estimate of moduli | estimate of moduli | moduli | moduli | composites | composites | composite materials | composite materials | modulus limited design | modulus limited design | material selection | material selection | materials selection | materials selection | measurement of elastic properties | measurement of elastic properties | stress-strain | stress-strain | stress-strain relations | stress-strain relations | anisotropy | anisotropy | orthotropy | orthotropy | measurements | measurements | engineering notation | engineering notation | Hooke | Hooke | Hooke's law | Hooke's law | general hooke's law | general hooke's law | equations of elasticity | equations of elasticity | boundary conditions | boundary conditions | multi-disciplinary | multi-disciplinary | models | models | engineering systems | engineering systems | experiments | experiments | investigations | investigations | experimental error | experimental error | design evaluation | design evaluation | evaluation | evaluation | trade studies | trade studies | effects of engineering | effects of engineering | social context | social context | engineering drawings | engineering drawings

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8.01L Physics I: Classical Mechanics (MIT) 8.01L Physics I: Classical Mechanics (MIT)

Description

8.01L is an introductory mechanics course, which covers all the topics covered in 8.01T. The class meets throughout the fall, and continues throughout the Independent Activities Period (IAP). 8.01L is an introductory mechanics course, which covers all the topics covered in 8.01T. The class meets throughout the fall, and continues throughout the Independent Activities Period (IAP).

Subjects

Introductory classical mechanics | Introductory classical mechanics | space | space | time | time | straight-line kinematics | straight-line kinematics | motion in a plane | motion in a plane | forces | forces | static equilibrium | static equilibrium | particle dynamics | particle dynamics | conservation of momentum | conservation of momentum | relative inertial frames | relative inertial frames | non-inertial force | non-inertial force | work | work | potential energy | potential energy | conservation of energy | conservation of energy | ideal gas | ideal gas | rigid bodies | rigid bodies | rotational dynamics | rotational dynamics | vibrational motion | vibrational motion | conservation of angular momentum | conservation of angular momentum | central force motions | central force motions | fluid mechanics | fluid mechanics | Technology-Enabled Active Learning | Technology-Enabled Active Learning

License

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8.033 Relativity (MIT) 8.033 Relativity (MIT)

Description

Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay. Relativity is normally taken by physics majors in their sophomore year. Topics include: Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; and particle collisions. Also covered is: Relativity and electricity; Coulomb's law; and magnetic fields. Brief introduction to Newtonian cosmology. There is also an introduction to some concepts of General Relativity; principle of equivalence; the Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, and Shapiro delay.

Subjects

Einstein's postulates | Einstein's postulates | consequences for simultaneity | time dilation | length contraction | clock synchronization | consequences for simultaneity | time dilation | length contraction | clock synchronization | Lorentz transformation | Lorentz transformation | relativistic effects and paradoxes | relativistic effects and paradoxes | Minkowski diagrams | Minkowski diagrams | invariants and four-vectors | invariants and four-vectors | momentum | energy and mass | momentum | energy and mass | particle collisions | particle collisions | Relativity and electricity | Relativity and electricity | Coulomb's law | Coulomb's law | magnetic fields | magnetic fields | Newtonian cosmology | Newtonian cosmology | General Relativity | General Relativity | principle of equivalence | principle of equivalence | the Schwarzchild metric | the Schwarzchild metric | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | particle and light trajectories | geodesics | Shapiro delay | gravitational red shift | gravitational red shift | particle trajectories | particle trajectories | light trajectories | light trajectories | invariants | invariants | four-vectors | four-vectors | momentum | momentum | energy | energy | mass | mass | relativistic effects | relativistic effects | paradoxes | paradoxes | electricity | electricity | time dilation | time dilation | length contraction | length contraction | clock synchronization | clock synchronization | Schwarzchild metric | Schwarzchild metric | geodesics | geodesics | Shaprio delay | Shaprio delay | relativistic kinematics | relativistic kinematics | relativistic dynamics | relativistic dynamics | electromagnetism | electromagnetism | hubble expansion | hubble expansion | universe | universe | equivalence principle | equivalence principle | curved space time | curved space time | Ether Theory | Ether Theory | constants | constants | speed of light | speed of light | c | c | graph | graph | pythagorem theorem | pythagorem theorem | triangle | triangle | arrows | arrows

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18.327 Wavelets, Filter Banks and Applications (MIT) 18.327 Wavelets, Filter Banks and Applications (MIT)

Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Subjects

Discrete-time filters | Discrete-time filters | convolution | convolution | Fourier transform | Fourier transform | owpass and highpass filters | owpass and highpass filters | Sampling rate change operations | Sampling rate change operations | upsampling and downsampling | upsampling and downsampling | ractional sampling | ractional sampling | interpolation | interpolation | Filter Banks | Filter Banks | time domain (Haar example) and frequency domain | time domain (Haar example) and frequency domain | conditions for alias cancellation and no distortion | conditions for alias cancellation and no distortion | perfect reconstruction | perfect reconstruction | halfband filters and possible factorizations | halfband filters and possible factorizations | Modulation and polyphase representations | Modulation and polyphase representations | Noble identities | Noble identities | block Toeplitz matrices and block z-transforms | block Toeplitz matrices and block z-transforms | polyphase examples | polyphase examples | Matlab wavelet toolbox | Matlab wavelet toolbox | Orthogonal filter banks | Orthogonal filter banks | paraunitary matrices | paraunitary matrices | orthogonality condition (Condition O) in the time domain | orthogonality condition (Condition O) in the time domain | modulation domain and polyphase domain | modulation domain and polyphase domain | Maxflat filters | Maxflat filters | Daubechies and Meyer formulas | Daubechies and Meyer formulas | Spectral factorization | Spectral factorization | Multiresolution Analysis (MRA) | Multiresolution Analysis (MRA) | requirements for MRA | requirements for MRA | nested spaces and complementary spaces; scaling functions and wavelets | nested spaces and complementary spaces; scaling functions and wavelets | Refinement equation | Refinement equation | iterative and recursive solution techniques | iterative and recursive solution techniques | infinite product formula | infinite product formula | filter bank approach for computing scaling functions and wavelets | filter bank approach for computing scaling functions and wavelets | Orthogonal wavelet bases | Orthogonal wavelet bases | connection to orthogonal filters | connection to orthogonal filters | orthogonality in the frequency domain | orthogonality in the frequency domain | Biorthogonal wavelet bases | Biorthogonal wavelet bases | Mallat pyramid algorithm | Mallat pyramid algorithm | Accuracy of wavelet approximations (Condition A) | Accuracy of wavelet approximations (Condition A) | vanishing moments | vanishing moments | polynomial cancellation in filter banks | polynomial cancellation in filter banks | Smoothness of wavelet bases | Smoothness of wavelet bases | convergence of the cascade algorithm (Condition E) | convergence of the cascade algorithm (Condition E) | splines | splines | Bases vs. frames | Bases vs. frames | Signal and image processing | Signal and image processing | finite length signals | finite length signals | boundary filters and boundary wavelets | boundary filters and boundary wavelets | wavelet compression algorithms | wavelet compression algorithms | Lifting | Lifting | ladder structure for filter banks | ladder structure for filter banks | factorization of polyphase matrix into lifting steps | factorization of polyphase matrix into lifting steps | lifting form of refinement equationSec | lifting form of refinement equationSec | Wavelets and subdivision | Wavelets and subdivision | nonuniform grids | nonuniform grids | multiresolution for triangular meshes | multiresolution for triangular meshes | representation and compression of surfaces | representation and compression of surfaces | Numerical solution of PDEs | Numerical solution of PDEs | Galerkin approximation | Galerkin approximation | wavelet integrals (projection coefficients | moments and connection coefficients) | wavelet integrals (projection coefficients | moments and connection coefficients) | convergence | convergence | Subdivision wavelets for integral equations | Subdivision wavelets for integral equations | Compression and convergence estimates | Compression and convergence estimates | M-band wavelets | M-band wavelets | DFT filter banks and cosine modulated filter banks | DFT filter banks and cosine modulated filter banks | Multiwavelets | Multiwavelets

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Astrophysics (MIT) Astrophysics (MIT)

Description

Includes audio/video content: AV selected lectures. Study of physical effects in the vicinity of a black hole as a basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat spacetime; the metric; curvature of spacetime near rotating and nonrotating centers of attraction; trajectories and orbits of particles and light; elementary models of the Cosmos. Weekly meetings include an evening seminar and recitation. The last third of the semester is reserved for collaborative research projects on topics such as the Global Positioning System, solar system tests of relativity, descending into a black hole, gravitational lensing, gravitational waves, Gravity Probe B, and more advanced Includes audio/video content: AV selected lectures. Study of physical effects in the vicinity of a black hole as a basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat spacetime; the metric; curvature of spacetime near rotating and nonrotating centers of attraction; trajectories and orbits of particles and light; elementary models of the Cosmos. Weekly meetings include an evening seminar and recitation. The last third of the semester is reserved for collaborative research projects on topics such as the Global Positioning System, solar system tests of relativity, descending into a black hole, gravitational lensing, gravitational waves, Gravity Probe B, and more advanced

Subjects

black hole | black hole | general relativity | general relativity | astrophysics | astrophysics | cosmology | cosmology | Energy and momentum in flat spacetime | Energy and momentum in flat spacetime | the metric | the metric | curvature of spacetime near rotating and nonrotating centers of attraction | curvature of spacetime near rotating and nonrotating centers of attraction | trajectories and orbits of particles and light | trajectories and orbits of particles and light | elementary models of the Cosmos | elementary models of the Cosmos | Global Positioning System | Global Positioning System | solar system tests of relativity | solar system tests of relativity | descending into a black hole | descending into a black hole | gravitational lensing | gravitational lensing | gravitational waves | gravitational waves | Gravity Probe B | Gravity Probe B | more advanced models of the Cosmos | more advanced models of the Cosmos | spacetime curvature | spacetime curvature | rotating centers of attraction | rotating centers of attraction | nonrotating centers of attraction | nonrotating centers of attraction | event horizon | event horizon | energy | energy | momentum | momentum | flat spacetime | flat spacetime | metric | metric | trajectories | trajectories | orbits | orbits | particles | particles | light | light | elementary | elementary | models | models | cosmos | cosmos | spacetime | spacetime | curvature | curvature | flat | flat | GPS | GPS | gravitational | gravitational | lensing | lensing | waves | waves | rotating | rotating | nonrotating | nonrotating | centers | centers | attraction | attraction | solar system | solar system | tests | tests | relativity | relativity | general | general | advanced | advanced

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IV (MIT) IV (MIT)

Description

The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files The basic objective of Unified Engineering is to give a solid understanding of the fundamental disciplines of aerospace engineering, as well as their interrelationships and applications. These disciplines are Materials and Structures (M); Computers and Programming (C); Fluid Mechanics (F); Thermodynamics (T); Propulsion (P); and Signals and Systems (S). In choosing to teach these subjects in a unified manner, the instructors seek to explain the common intellectual threads in these disciplines, as well as their combined application to solve engineering Systems Problems (SP). Throughout the year, the instructors emphasize the connections among the disciplines.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files

Subjects

Unified | Unified | Unified Engineering | Unified Engineering | aerospace | aerospace | CDIO | CDIO | C-D-I-O | C-D-I-O | conceive | conceive | design | design | implement | implement | operate | operate | team | team | team-based | team-based | discipline | discipline | materials | materials | structures | structures | materials and structures | materials and structures | computers | computers | programming | programming | computers and programming | computers and programming | fluids | fluids | fluid mechanics | fluid mechanics | thermodynamics | thermodynamics | propulsion | propulsion | signals | signals | systems | systems | signals and systems | signals and systems | systems problems | systems problems | fundamentals | fundamentals | technical communication | technical communication | graphical communication | graphical communication | communication | communication | reading | reading | research | research | experimentation | experimentation | personal response system | personal response system | prs | prs | active learning | active learning | First law | First law | first law of thermodynamics | first law of thermodynamics | thermo-mechanical | thermo-mechanical | energy | energy | energy conversion | energy conversion | aerospace power systems | aerospace power systems | propulsion systems | propulsion systems | aerospace propulsion systems | aerospace propulsion systems | heat | heat | work | work | thermal efficiency | thermal efficiency | forms of energy | forms of energy | energy exchange | energy exchange | processes | processes | heat engines | heat engines | engines | engines | steady-flow energy equation | steady-flow energy equation | energy flow | energy flow | flows | flows | path-dependence | path-dependence | path-independence | path-independence | reversibility | reversibility | irreversibility | irreversibility | state | state | thermodynamic state | thermodynamic state | performance | performance | ideal cycle | ideal cycle | simple heat engine | simple heat engine | cycles | cycles | thermal pressures | thermal pressures | temperatures | temperatures | linear static networks | linear static networks | loop method | loop method | node method | node method | linear dynamic networks | linear dynamic networks | classical methods | classical methods | state methods | state methods | state concepts | state concepts | dynamic systems | dynamic systems | resistive circuits | resistive circuits | sources | sources | voltages | voltages | currents | currents | Thevinin | Thevinin | Norton | Norton | initial value problems | initial value problems | RLC networks | RLC networks | characteristic values | characteristic values | characteristic vectors | characteristic vectors | transfer function | transfer function | ada | ada | ada programming | ada programming | programming language | programming language | software systems | software systems | programming style | programming style | computer architecture | computer architecture | program language evolution | program language evolution | classification | classification | numerical computation | numerical computation | number representation systems | number representation systems | assembly | assembly | SimpleSIM | SimpleSIM | RISC | RISC | CISC | CISC | operating systems | operating systems | single user | single user | multitasking | multitasking | multiprocessing | multiprocessing | domain-specific classification | domain-specific classification | recursive | recursive | execution time | execution time | fluid dynamics | fluid dynamics | physical properties of a fluid | physical properties of a fluid | fluid flow | fluid flow | mach | mach | reynolds | reynolds | conservation | conservation | conservation principles | conservation principles | conservation of mass | conservation of mass | conservation of momentum | conservation of momentum | conservation of energy | conservation of energy | continuity | continuity | inviscid | inviscid | steady flow | steady flow | simple bodies | simple bodies | airfoils | airfoils | wings | wings | channels | channels | aerodynamics | aerodynamics | forces | forces | moments | moments | equilibrium | equilibrium | freebody diagram | freebody diagram | free-body | free-body | free body | free body | planar force systems | planar force systems | equipollent systems | equipollent systems | equipollence | equipollence | support reactions | support reactions | reactions | reactions | static determinance | static determinance | determinate systems | determinate systems | truss analysis | truss analysis | trusses | trusses | method of joints | method of joints | method of sections | method of sections | statically indeterminate | statically indeterminate | three great principles | three great principles | 3 great principles | 3 great principles | indicial notation | indicial notation | rotation of coordinates | rotation of coordinates | coordinate rotation | coordinate rotation | stress | stress | extensional stress | extensional stress | shear stress | shear stress | notation | notation | plane stress | plane stress | stress equilbrium | stress equilbrium | stress transformation | stress transformation | mohr | mohr | mohr's circle | mohr's circle | principal stress | principal stress | principal stresses | principal stresses | extreme shear stress | extreme shear stress | strain | strain | extensional strain | extensional strain | shear strain | shear strain | strain-displacement | strain-displacement | compatibility | compatibility | strain transformation | strain transformation | transformation of strain | transformation of strain | mohr's circle for strain | mohr's circle for strain | principal strain | principal strain | extreme shear strain | extreme shear strain | uniaxial stress-strain | uniaxial stress-strain | material properties | material properties | classes of materials | classes of materials | bulk material properties | bulk material properties | origin of elastic properties | origin of elastic properties | structures of materials | structures of materials | atomic bonding | atomic bonding | packing of atoms | packing of atoms | atomic packing | atomic packing | crystals | crystals | crystal structures | crystal structures | polymers | polymers | estimate of moduli | estimate of moduli | moduli | moduli | composites | composites | composite materials | composite materials | modulus limited design | modulus limited design | material selection | material selection | materials selection | materials selection | measurement of elastic properties | measurement of elastic properties | stress-strain | stress-strain | stress-strain relations | stress-strain relations | anisotropy | anisotropy | orthotropy | orthotropy | measurements | measurements | engineering notation | engineering notation | Hooke | Hooke | Hooke's law | Hooke's law | general hooke's law | general hooke's law | equations of elasticity | equations of elasticity | boundary conditions | boundary conditions | multi-disciplinary | multi-disciplinary | models | models | engineering systems | engineering systems | experiments | experiments | investigations | investigations | experimental error | experimental error | design evaluation | design evaluation | evaluation | evaluation | trade studies | trade studies | effects of engineering | effects of engineering | social context | social context | engineering drawings | engineering drawings | 16.01 | 16.01 | 16.02 | 16.02 | 16.03 | 16.03 | 16.04 | 16.04

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8.012 Physics I (MIT) 8.012 Physics I (MIT)

Description

Elementary mechanics, presented at greater depth than in 8.01(Calculus). Newton's laws, concepts of momentum, energy, angular momentum, rigid body motion, and non-inertial systems. Uses elementary calculus freely. Concurrent registration in a math subject more advanced than 18.01 is recommended. In addition to the theoretical subject matter, several experiments in classical mechanics are performed by the students in the laboratory. Elementary mechanics, presented at greater depth than in 8.01(Calculus). Newton's laws, concepts of momentum, energy, angular momentum, rigid body motion, and non-inertial systems. Uses elementary calculus freely. Concurrent registration in a math subject more advanced than 18.01 is recommended. In addition to the theoretical subject matter, several experiments in classical mechanics are performed by the students in the laboratory.

Subjects

elementary mechanics | elementary mechanics | Newton's laws | Newton's laws | momentum | momentum | energy | energy | angular momentum | angular momentum | rigid body motion | rigid body motion | non-inertial systems | non-inertial systems | classical mechanics | classical mechanics

License

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10.52 Mechanics of Fluids (MIT) 10.52 Mechanics of Fluids (MIT)

Description

This course is an advanced subject in fluid and continuum mechanics. The course content includes kinematics, macroscopic balances for linear and angular momentum, stress tensors, creeping flows and the lubrication approximation, the boundary layer approximation, linear stability theory, and some simple turbulent flows. This course is an advanced subject in fluid and continuum mechanics. The course content includes kinematics, macroscopic balances for linear and angular momentum, stress tensors, creeping flows and the lubrication approximation, the boundary layer approximation, linear stability theory, and some simple turbulent flows.

Subjects

fluid mechanics | fluid mechanics | continuum mechanics | continuum mechanics | kinematics | kinematics | macroscopic balances for linear momentum | macroscopic balances for linear momentum | macroscopic balances for angular momentum | macroscopic balances for angular momentum | the stress tensor | the stress tensor | creeping flows | creeping flows | lubrication approximation | lubrication approximation | boundary layer approximation | boundary layer approximation | linear stability theory | linear stability theory | simple turbulent flows | simple turbulent flows

License

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8.512 Theory of Solids II (MIT) 8.512 Theory of Solids II (MIT)

Description

This is the second term of a theoretical treatment of the physics of solids. Topics covered include linear response theory; the physics of disorder; superconductivity; the local moment and itinerant magnetism; the Kondo problem and Fermi liquid theory. This is the second term of a theoretical treatment of the physics of solids. Topics covered include linear response theory; the physics of disorder; superconductivity; the local moment and itinerant magnetism; the Kondo problem and Fermi liquid theory.

Subjects

Linear response theory | Linear response theory | Fluctuation dissipation theorem | Fluctuation dissipation theorem | Scattering experiment | Scattering experiment | f-sum rule | f-sum rule | Physics of disorder | Physics of disorder | Kubo formula for conductivity | Kubo formula for conductivity | Conductance and sensitivity to boundary conditions | Conductance and sensitivity to boundary conditions | Scaling theory of localization | Scaling theory of localization | Mott variable range hopping | Mott variable range hopping | Superconductor | Superconductor | Transverse response | Transverse response | Landau diamagnetism | Landau diamagnetism | Microscopic derivation of London equation | Microscopic derivation of London equation | Effect of disorder | Effect of disorder | Quasiparticles and coherence factors | Quasiparticles and coherence factors | Tunneling and Josephson effect | Tunneling and Josephson effect | Magnetism | Magnetism | Local moment magnetism | Local moment magnetism | exchange interaction | exchange interaction | Ferro- and anti-ferro magnet and spin wave theory | Ferro- and anti-ferro magnet and spin wave theory | Band magnetism | Band magnetism | Stoner theory | Stoner theory | spin density wave | spin density wave | Local moment in metals | Local moment in metals | Friedel sum rule | Friedel sum rule | Friedel-Anderson model | Friedel-Anderson model | Kondo problem | Kondo problem | Fermi liquid theory | Fermi liquid theory | Electron Green?s function | Electron Green?s function

License

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15.875 Applications of System Dynamics (MIT) 15.875 Applications of System Dynamics (MIT)

Description

15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or managerial policy-making. 15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or managerial policy-making.

Subjects

system dynamics process; modeling; business consulting; managerial policy-making; team project; standard method; process consultation; system consultation; system processes; modeling loops; analyzing loops; diffusion model; problem solving; reference modes; momentum policies; causal loop; client consultations; client consulting; molecules of structure; system dynamics models | system dynamics process; modeling; business consulting; managerial policy-making; team project; standard method; process consultation; system consultation; system processes; modeling loops; analyzing loops; diffusion model; problem solving; reference modes; momentum policies; causal loop; client consultations; client consulting; molecules of structure; system dynamics models | system dynamics process | system dynamics process | modeling | modeling | business consulting | business consulting | managerial policy-making | managerial policy-making | team project | team project | standard method | standard method | process consultation | process consultation | system consultation | system consultation | system processes | system processes | modeling loops | modeling loops | analyzing loops | analyzing loops | diffusion model | diffusion model | problem solving | problem solving | reference modes | reference modes | momentum policies | momentum policies | causal loop | causal loop | client consultations | client consultations | client consulting | client consulting | molecules of structure | molecules of structure | system dynamics models | system dynamics models

License

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8.012 Physics I: Classical Mechanics (MIT) 8.012 Physics I: Classical Mechanics (MIT)

Description

This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies. This class is an introduction to classical mechanics for students who are comfortable with calculus. The main topics are: Vectors, Kinematics, Forces, Motion, Momentum, Energy, Angular Motion, Angular Momentum, Gravity, Planetary Motion, Moving Frames, and the Motion of Rigid Bodies.

Subjects

elementary mechanics | elementary mechanics | Newton's laws | Newton's laws | momentum | momentum | energy | energy | angular momentum | angular momentum | rigid body motion | rigid body motion | non-inertial systems | non-inertial systems | classical mechanics | classical mechanics

License

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6.635 Advanced Electromagnetism (MIT) 6.635 Advanced Electromagnetism (MIT)

Description

In 6.635, topics covered include: special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, Green's functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, EM waves in periodic structures: photonic crystals and negative refraction. In 6.635, topics covered include: special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, Green's functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, EM waves in periodic structures: photonic crystals and negative refraction.

Subjects

electromagnetism | electromagnetism | special relativity | special relativity | electrodynamics | electrodynamics | waves | waves | dispersive media | dispersive media | microstrip integrated circuits | microstrip integrated circuits | quantum optics | quantum optics | remote sensing | remote sensing | radiative transfer theory | radiative transfer theory | scattering | scattering | effective permittivities | effective permittivities | random media | random media | Green's functions | Green's functions | planarly layered media | planarly layered media | integral equations | integral equations | method of moments | method of moments | time domain method of moments | time domain method of moments | EM waves | EM waves | periodic structures | periodic structures | photonic crystals | photonic crystals | negative refraction | negative refraction

License

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ísica II ísica II

Description

Subjects

Sistema de unidades | Sistema de unidades | éctrico | éctrico | Fuerza de Lorentz | Fuerza de Lorentz | Campo de ruptura | Campo de ruptura | éctrica | éctrica | Densidad de corriente | Densidad de corriente | Ley de Gauss | Ley de Gauss | ía potencial | ía potencial | éctricos | éctricos | ón | ón | ático | ático | Fuerzas conservativas | Fuerzas conservativas | éctrico de una carga puntual | éctrico de una carga puntual | ón de la trayectoria | ón de la trayectoria | Diferencia de potencial | Diferencia de potencial | ísica Aplicada | ísica Aplicada | Trabajo | Trabajo | ético atómico | ético atómico | ática | ática | ía | ía | Fisica Aplicada | Fisica Aplicada | éticos | éticos | ética sobre corrientes | ética sobre corrientes | Distribuciones continuas de carga | Distribuciones continuas de carga | ísica Teórica | ísica Teórica | Magnetismo en la materia | Magnetismo en la materia | fuerza | fuerza | Densidades de carga | Densidades de carga | Resistencia | Resistencia | Inductancia mutua | Inductancia mutua | Movimiento circular | Movimiento circular | éticas | éticas | ética | ética | Ley de Biot y Savart | Ley de Biot y Savart | ético | ético | Concepto | Concepto | momento lineal | momento lineal | Condensadores | Condensadores | Ley de Ampere | Ley de Ampere | Ley de Lenz | Ley de Lenz | Elemento de corriente | Elemento de corriente | Autoinductancia | Autoinductancia | Ley de Ohm | Ley de Ohm | Momento angular | Momento angular | Ley de Coulomb | Ley de Coulomb | ámica de una partícula | ámica de una partícula | Momentos de fuerza sobre espiras de corriente e imanes | Momentos de fuerza sobre espiras de corriente e imanes | Fisica Teorica | Fisica Teorica | ía magnética | ía magnética | Conductores y aislantes | Conductores y aislantes | ón de Faraday | ón de Faraday | Intensidad | Intensidad | Leyes de Newton | Leyes de Newton | momento de las fuerzas | momento de las fuerzas | Fuerzas entre corrientes | Fuerzas entre corrientes | íneas de campo eléctrico | íneas de campo eléctrico | Potencia | Potencia

License

Copyright 2015, UC3M http://creativecommons.org/licenses/by-nc-sa/4.0/

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8.05 Quantum Physics II (MIT)

Description

Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogen

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8.05 Quantum Physics II (MIT)

Description

Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogen

License

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8.05 Quantum Physics II (MIT)

Description

This course, along with the next course in this sequence (8.06, Quantum Physics III) in a two-course sequence covering quantum physics with applications drawn from modern physics. General formalism of quantum mechanics: states, operators, Dirac notation, representations, measurement theory. Harmonic oscillator: operator algebra, states. Quantum mechanics in three-dimensions: central potentials and the radial equation, bound and scattering states, qualitative analysis of wavefunctions. Angular momentum: operators, commutator algebra, eigenvalues and eigenstates, spherical harmonics. Spin: Stern-Gerlach devices and measurements, nuclear magnetic resonance, spin and statistics. Addition of angular momentum: Clebsch-Gordan series and coefficients, spin systems, and allotropic forms of hydrogen

Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics

License

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8.05 Quantum Physics II (MIT)

Description

Together, this course and 8.06: Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

Subjects

General formalism of quantum mechanics: states | operators | Dirac notation | representations | measurement theory | Harmonic oscillator: operator algebra | states | Quantum mechanics in three-dimensions: central potentials and the radial equation | bound and scattering states | qualitative analysis of wavefunctions | Angular momentum: operators | commutator algebra | eigenvalues and eigenstates | spherical harmonics | Spin: Stern-Gerlach devices and measurements | nuclear magnetic resonance | spin and statistics | Addition of angular momentum: Clebsch-Gordan series and coefficients | spin systems | allotropic forms of hydrogen | Angular momentum | Harmonic oscillator | operator algebra | Spin | Stern-Gerlach devices and measurements | central potentials and the radial equation | Clebsch-Gordan series and coefficients | quantum physics | 8. Quantum mechanics in three-dimensions: central potentials and the radial equation | and allotropic forms of hydrogen

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.

Subjects

aerodynamics | airflow | air | body | aircraft | aerodynamic modes | aero | forces | flow | computational | CFD | aerodynamic analysis | lift | drag | potential flows | imcompressible | supersonic | subsonic | panel method | vortex lattice method | boudary layer | transition | turbulence | inviscid | viscous | euler | navier-stokes | wind tunnel | flow similarity | non-dimensional | mach number | reynolds number | integral momentum | airfoil | wing | stall | friction drag | induced drag | wave drag | pressure drag | fluid element | shear strain | normal strain | vorticity | divergence | substantial derivative | laminar | displacement thickness | momentum thickness | skin friction | separation | velocity profile | 2-d panel | 3-d vortex | thin airfoil | lifting line | aspect ratio | twist | camber | wing loading | roll moments | finite volume approximation | shocks | expansion fans | shock-expansion theory | transonic | critical mach number | wing sweep | Kutta condition | team project | blended-wing-body | computational fluid dynamics

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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