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18.786 Topics in Algebraic Number Theory (MIT) 18.786 Topics in Algebraic Number Theory (MIT)

Description

This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet's units theorem, cyclotomic fields, local fields, valuations, decomposition and inertia groups, ramification, basic analytic methods, and basic class field theory. An additional theme running throughout the course will be the use of computer algebra to investigate number-theoretic questions; this theme will appear primarily in the problem sets. This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet's units theorem, cyclotomic fields, local fields, valuations, decomposition and inertia groups, ramification, basic analytic methods, and basic class field theory. An additional theme running throughout the course will be the use of computer algebra to investigate number-theoretic questions; this theme will appear primarily in the problem sets.

Subjects

algebraic number theory | algebraic number theory | number fields | number fields | class numbers | class numbers | Dirichlet's units theorem | Dirichlet's units theorem | cyclotomic fields | cyclotomic fields | local fields | local fields | valuations | valuations | decomposition and inertia groups | decomposition and inertia groups | ramification | ramification | basic analytic methods | basic analytic methods | basic class field theory | basic class field theory

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8.322 Quantum Theory II (MIT) 8.322 Quantum Theory II (MIT)

Description

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation. 8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Subjects

uncertainty relation | uncertainty relation | observables | observables | eigenstates | eigenstates | eigenvalues | eigenvalues | probabilities of the results of measurement | probabilities of the results of measurement | transformation theory | transformation theory | equations of motion | equations of motion | constants of motion | constants of motion | Symmetry in quantum mechanics | Symmetry in quantum mechanics | representations of symmetry groups | representations of symmetry groups | Variational and perturbation approximations | Variational and perturbation approximations | Systems of identical particles and applications | Systems of identical particles and applications | Time-dependent perturbation theory | Time-dependent perturbation theory | Scattering theory: phase shifts | Scattering theory: phase shifts | Born approximation | Born approximation | The quantum theory of radiation | The quantum theory of radiation | Second quantization and many-body theory | Second quantization and many-body theory | Relativistic quantum mechanics of one electron | Relativistic quantum mechanics of one electron | probability | probability | measurement | measurement | motion equations | motion equations | motion constants | motion constants | symmetry groups | symmetry groups | quantum mechanics | quantum mechanics | variational approximations | variational approximations | perturbation approximations | perturbation approximations | identical particles | identical particles | time-dependent perturbation theory | time-dependent perturbation theory | scattering theory | scattering theory | phase shifts | phase shifts | quantum theory of radiation | quantum theory of radiation | second quantization | second quantization | many-body theory | many-body theory | relativistic quantum mechanics | relativistic quantum mechanics | one electron | one electron | quantization | quantization | EM radiation field | EM radiation field | electromagnetic radiation field | electromagnetic radiation field | adiabatic theorem | adiabatic theorem | Berry?s phase | Berry?s phase | many-particle systems | many-particle systems | Dirac equation | Dirac equation | Hilbert spaces | Hilbert spaces | time evolution | time evolution | Schrodinger picture | Schrodinger picture | Heisenberg picture | Heisenberg picture | interaction picture | interaction picture | classical mechanics | classical mechanics | path integrals | path integrals | EM fields | EM fields | electromagnetic fields | electromagnetic fields | angular momentum | angular momentum | density operators | density operators | quantum measurement | quantum measurement | quantum statistics | quantum statistics | quantum dynamics | quantum dynamics

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6.772 Compound Semiconductor Devices (MIT) 6.772 Compound Semiconductor Devices (MIT)

Description

This course outlines the physics, modeling, application, and technology of compound semiconductors (primarily III-Vs) in electronic, optoelectronic, and photonic devices and integrated circuits. Topics include: properties, preparation, and processing of compound semiconductors; theory and practice of heterojunctions, quantum structures, and pseudomorphic strained layers; metal-semiconductor field effect transistors (MESFETs); heterojunction field effect transistors (HFETs) and bipolar transistors (HBTs); photodiodes, vertical-and in-plane-cavity laser diodes, and other optoelectronic devices. This course outlines the physics, modeling, application, and technology of compound semiconductors (primarily III-Vs) in electronic, optoelectronic, and photonic devices and integrated circuits. Topics include: properties, preparation, and processing of compound semiconductors; theory and practice of heterojunctions, quantum structures, and pseudomorphic strained layers; metal-semiconductor field effect transistors (MESFETs); heterojunction field effect transistors (HFETs) and bipolar transistors (HBTs); photodiodes, vertical-and in-plane-cavity laser diodes, and other optoelectronic devices.

Subjects

physics | physics | modeling | modeling | application | application | technology of compound semiconductors | technology of compound semiconductors | electronic | electronic | optoelectronic | optoelectronic | photonic devices | photonic devices | integrated circuits | integrated circuits | properties | properties | heterojunctions | heterojunctions | quantum structures | quantum structures | pseudomorphic strained layers | pseudomorphic strained layers | metal-semiconductor field effect transistors (MESFETs) | metal-semiconductor field effect transistors (MESFETs) | heterojunction field effect transistors (HFETs) | heterojunction field effect transistors (HFETs) | bipolar transistors (HBTs) | bipolar transistors (HBTs) | photodiodes | photodiodes | laser diodes | laser diodes | optoelectronic devices | optoelectronic devices | applications | applications | compound semiconductors | compound semiconductors | electronic devices | electronic devices | compound semiconductor processing | compound semiconductor processing | metal-semiconductor field effect transistors | metal-semiconductor field effect transistors | MESFET | MESFET | heterojunction field effect transistors | heterojunction field effect transistors | HFET | HFET | bipolar transistors | bipolar transistors | HBT | HBT | vertical-cavity laser diodes | vertical-cavity laser diodes | in-plane-cavity laser diodes | in-plane-cavity laser diodes

License

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8.323 Relativistic Quantum Field Theory I (MIT) 8.323 Relativistic Quantum Field Theory I (MIT)

Description

8.323, Relativistic Quantum Field Theory I, is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics. 8.323, Relativistic Quantum Field Theory I, is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics.

Subjects

Classical field theory | Classical field theory | symmetries | symmetries | and Noether's theorem. Quantization of scalar fields | and Noether's theorem. Quantization of scalar fields | spin fields | spin fields | and Gauge bosons. Feynman graphs | and Gauge bosons. Feynman graphs | analytic properties of amplitudes and unitarity of the S-matrix. Calculations in quantum electrodynamics (QED). Introduction to renormalization. | analytic properties of amplitudes and unitarity of the S-matrix. Calculations in quantum electrodynamics (QED). Introduction to renormalization.

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8.02 Physics II: Electricity and Magnetism (MIT) 8.02 Physics II: Electricity and Magnetism (MIT)

Description

This freshman-level course is the second semester of introductory physics. The focus is on electricity and magnetism. The subject is taught using the TEAL (Technology Enabled Active Learning) format which utilizes small group interaction and current technology. The TEAL/Studio Project at MIT is a new approach to physics education designed to help students develop much better intuition about, and conceptual models of, physical phenomena. Staff List Visualizations: Prof. John Belcher Instructors: Dr. Peter Dourmashkin Prof. Bruce Knuteson Prof. Gunther Roland Prof. Bolek Wyslouch Dr. Brian Wecht Prof. Eric Katsavounidis Prof. Robert Simcoe Prof. Joseph Formaggio Course Co-Administrators: Dr. Peter Dourmashkin Prof. Robert Redwine Technical Instructors: Andy Neely Matthew Strafuss Course This freshman-level course is the second semester of introductory physics. The focus is on electricity and magnetism. The subject is taught using the TEAL (Technology Enabled Active Learning) format which utilizes small group interaction and current technology. The TEAL/Studio Project at MIT is a new approach to physics education designed to help students develop much better intuition about, and conceptual models of, physical phenomena. Staff List Visualizations: Prof. John Belcher Instructors: Dr. Peter Dourmashkin Prof. Bruce Knuteson Prof. Gunther Roland Prof. Bolek Wyslouch Dr. Brian Wecht Prof. Eric Katsavounidis Prof. Robert Simcoe Prof. Joseph Formaggio Course Co-Administrators: Dr. Peter Dourmashkin Prof. Robert Redwine Technical Instructors: Andy Neely Matthew Strafuss Course

Subjects

electromagnetism | electromagnetism | electrostatics | electrostatics | electric charge | electric charge | Coulomb's law | Coulomb's law | electric structure of matter | electric structure of matter | conductors | conductors | dielectrics | dielectrics | electrostatic field | electrostatic field | potential | potential | electrostatic energy | electrostatic energy | Electric currents | Electric currents | magnetic fields | magnetic fields | Ampere's law | Ampere's law | Magnetic materials | Magnetic materials | Time-varying fields | Time-varying fields | Faraday's law of induction | Faraday's law of induction | electric circuits | electric circuits | Electromagnetic waves | Electromagnetic waves | Maxwell's equations | Maxwell's equations

License

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Magnetism with an Experimental Focus (MIT) Magnetism with an Experimental Focus (MIT)

Description

This course is an introduction to electromagnetism and electrostatics. Topics include: electric charge, Coulomb's law, electric structure of matter, conductors and dielectrics, concepts of electrostatic field and potential, electrostatic energy, electric currents, magnetic fields, Ampere's law, magnetic materials, time-varying fields, Faraday's law of induction, basic electric circuits, electromagnetic waves, and Maxwell's equations. The course has an experimental focus, and includes several experiments that are intended to illustrate the concepts being studied. Acknowledgements Prof. Roland wishes to acknowledge that the structure and content of this course owe much to the contributions of Prof. Ambrogio Fasoli. This course is an introduction to electromagnetism and electrostatics. Topics include: electric charge, Coulomb's law, electric structure of matter, conductors and dielectrics, concepts of electrostatic field and potential, electrostatic energy, electric currents, magnetic fields, Ampere's law, magnetic materials, time-varying fields, Faraday's law of induction, basic electric circuits, electromagnetic waves, and Maxwell's equations. The course has an experimental focus, and includes several experiments that are intended to illustrate the concepts being studied. Acknowledgements Prof. Roland wishes to acknowledge that the structure and content of this course owe much to the contributions of Prof. Ambrogio Fasoli.

Subjects

Electromagnetism | Electromagnetism | electrostatics | electrostatics | electric charge | electric charge | Coulomb's law | Coulomb's law | electric structure of matter | electric structure of matter | conductors | conductors | dielectrics | dielectrics | electrostatic field | electrostatic field | electrostatic potential | electrostatic potential | electrostatic energy | electrostatic energy | electric current | electric current | magnetic field | magnetic field | Ampere's law | Ampere's law | magnetic | magnetic | electric | electric | time-varying fields | time-varying fields | Faraday's law | Faraday's law | induction | induction | circuits | circuits | electromagnetic waves | electromagnetic waves | Maxwell's equations | Maxwell's equations | 8.02 | 8.02

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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models. Introduction to Astronomy provides a quantitative introduction to the physics of the solar system, stars, the interstellar medium, the galaxy, and the universe, as determined from a variety of astronomical observations and models.

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402 | plusars | plusars | galaxies | galaxies | normal and active galaxies | normal and active galaxies | dynamical expansion and thermal history of the Universe | dynamical expansion and thermal history of the Universe

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8.02T Electricity and Magnetism (MIT) 8.02T Electricity and Magnetism (MIT)

Description

This freshman-level course is the second semester of introductory physics. The focus is on electricity and magnetism. The subject is taught using the TEAL (Technology Enabled Active Learning) format which utilizes small group interaction and current technology. The TEAL/Studio Project at MIT is a new approach to physics education designed to help students develop much better intuition about, and conceptual models of, physical phenomena. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, a This freshman-level course is the second semester of introductory physics. The focus is on electricity and magnetism. The subject is taught using the TEAL (Technology Enabled Active Learning) format which utilizes small group interaction and current technology. The TEAL/Studio Project at MIT is a new approach to physics education designed to help students develop much better intuition about, and conceptual models of, physical phenomena. Acknowledgements The TEAL project is supported by The Alex and Brit d'Arbeloff Fund for Excellence in MIT Education, MIT iCampus, the Davis Educational Foundation, the National Science Foundation, the Class of 1960 Endowment for Innovation in Education, the Class of 1951 Fund for Excellence in Education, the Class of 1955 Fund for Excellence in Teaching, a

Subjects

electromagnetism | electromagnetism | electrostatics | electrostatics | electric charge | electric charge | Coulomb's law | Coulomb's law | electric structure of matter | electric structure of matter | conductors | conductors | dielectrics | dielectrics | electrostatic field | electrostatic field | potential | potential | electrostatic energy | electrostatic energy | Electric currents | Electric currents | magnetic fields | magnetic fields | Ampere's law | Ampere's law | Magnetic materials | Magnetic materials | Time-varying fields | Time-varying fields | Faraday's law of induction | Faraday's law of induction | electric circuits | electric circuits | Electromagnetic waves | Electromagnetic waves | Maxwell's equations | Maxwell's equations

License

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | number states | coherent states | coherent states | and squeezed states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | heterodyne detection | heterodyne detection | and homodyne detection. Second-order nonlinear optics: phasematched interactions | and homodyne detection. Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | generation of squeezed states | photon-twin beams | photon-twin beams | non-classical fourth-order interference | non-classical fourth-order interference | and polarization entanglement. Quantum systems theory: optimum binary detection | and polarization entanglement. Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | and quantum teleportation. | and quantum teleportation.

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following.  Quantum optics: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; radiation field quantization and quantum field propagation; P-representation and classical fields.  Linear loss and linear amplification: commutator preservation and the Uncertainty Principle; beam splitters; phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection, heterodyne detection, and homodyne detection.&a This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following.  Quantum optics: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; radiation field quantization and quantum field propagation; P-representation and classical fields.  Linear loss and linear amplification: commutator preservation and the Uncertainty Principle; beam splitters; phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection, heterodyne detection, and homodyne detection.&a

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | coherent states | and squeezed states | number states | coherent states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields | P-representation and classical fields | Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers | phase-insensitive and phase-sensitive amplifiers | Quantum photodetection: direct detection | heterodyne detection | and homodyne detection | Quantum photodetection: direct detection | heterodyne detection | and homodyne detection | Second-order nonlinear optics: phasematched interactions | Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | photon-twin beams | non-classical fourth-order interference | and polarization entanglement | generation of squeezed states | photon-twin beams | non-classical fourth-order interference | and polarization entanglement | Quantum systems theory: optimum binary detection | Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | quantum teleportation | quantum teleportation

License

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(LOC) (LOC)

Description

Subjects

soldier | soldier | kilt | kilt | rifle | rifle | rifles | rifles | soldiers | soldiers | libraryofcongress | libraryofcongress | leggings | leggings | usarmy | usarmy | bayonet | bayonet | unitedstatesarmy | unitedstatesarmy | canadianarmy | canadianarmy | m1903 | m1903 | springfieldrifle | springfieldrifle | campaignhat | campaignhat | m1903springfieldrifle | m1903springfieldrifle | m1903springfield | m1903springfield | rossrifle | rossrifle

License

No known copyright restrictions

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6.453 Quantum Optical Communication (MIT) 6.453 Quantum Optical Communication (MIT)

Description

This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola This course is offered to graduate students and covers topics in five major areas of quantum optical communication: quantum optics, single-mode and two-mode quantum systems, multi-mode quantum systems, nonlinear optics, and quantum systems theory. Specific topics include the following: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; P-representation and classical fields; direct, homodyne, and heterodyne detection; linear propagation loss; phase insensitive and phase sensitive amplifiers; entanglement and teleportation; field quantization; quantum photodetection; phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and pola

Subjects

Quantum optics: Dirac notation quantum mechanics | Quantum optics: Dirac notation quantum mechanics | harmonic oscillator quantization | harmonic oscillator quantization | number states | number states | coherent states | coherent states | and squeezed states | and squeezed states | radiation field quantization and quantum field propagation | radiation field quantization and quantum field propagation | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle | beam splitters | beam splitters | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection | heterodyne detection | heterodyne detection | and homodyne detection. Second-order nonlinear optics: phasematched interactions | and homodyne detection. Second-order nonlinear optics: phasematched interactions | optical parametric amplifiers | optical parametric amplifiers | generation of squeezed states | generation of squeezed states | photon-twin beams | photon-twin beams | non-classical fourth-order interference | non-classical fourth-order interference | and polarization entanglement. Quantum systems theory: optimum binary detection | and polarization entanglement. Quantum systems theory: optimum binary detection | quantum precision measurements | quantum precision measurements | quantum cryptography | quantum cryptography | and quantum teleportation. | and quantum teleportation.

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18.238 Geometry and Quantum Field Theory (MIT) 18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory. Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | perturbative quantum field theory | classical field theory | classical field theory | free quantum theories | free quantum theories | Feynman diagrams | Feynman diagrams | Renormalization theory | Renormalization theory | Local operators | Local operators | Operator product expansion | Operator product expansion | Renormalization group equation | Renormalization group equation | classical | classical | field | field | theory | theory | Feynman | Feynman | diagrams | diagrams | free | free | quantum | quantum | theories | theories | local | local | operators | operators | product | product | expansion | expansion | perturbative | perturbative | renormalization | renormalization | group | group | equations | equations | functional | functional | function | function | intergrals | intergrals | operator | operator | QFT | QFT | string | string | physics | physics | mathematics | mathematics | geometry | geometry | geometric | geometric | algebraic | algebraic | topology | topology | number | number | 0-dimensional | 0-dimensional | 1-dimensional | 1-dimensional | d-dimensional | d-dimensional | supergeometry | supergeometry | supersymmetry | supersymmetry | conformal | conformal | stationary | stationary | phase | phase | formula | formula | calculus | calculus | combinatorics | combinatorics | matrix | matrix | mechanics | mechanics | lagrangians | lagrangians | hamiltons | hamiltons | least | least | action | action | principle | principle | limits | limits | formalism | formalism | Feynman-Kac | Feynman-Kac | current | current | charges | charges | Noether?s | Noether?s | theorem | theorem | path | path | integral | integral | approach | approach | divergences | divergences | functional integrals | functional integrals | fee quantum theories | fee quantum theories | renormalization theory | renormalization theory | local operators | local operators | operator product expansion | operator product expansion | renormalization group equation | renormalization group equation | mathematical language | mathematical language | string theory | string theory | 0-dimensional QFT | 0-dimensional QFT | Stationary Phase Formula | Stationary Phase Formula | Matrix Models | Matrix Models | Large N Limits | Large N Limits | 1-dimensional QFT | 1-dimensional QFT | Classical Mechanics | Classical Mechanics | Least Action Principle | Least Action Principle | Path Integral Approach | Path Integral Approach | Quantum Mechanics | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Operator Formalism | Feynman-Kac Formula | Feynman-Kac Formula | d-dimensional QFT | d-dimensional QFT | Formalism of Classical Field Theory | Formalism of Classical Field Theory | Currents | Currents | Noether?s Theorem | Noether?s Theorem | Path Integral Approach to QFT | Path Integral Approach to QFT | Perturbative Expansion | Perturbative Expansion | Renormalization Theory | Renormalization Theory | Conformal Field Theory | Conformal Field Theory | algebraic topology | algebraic topology | algebraic geometry | algebraic geometry | number theory | number theory

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8.282J Introduction to Astronomy (MIT) 8.282J Introduction to Astronomy (MIT)

Description

Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis Introduction to Astronomy provides a quantitative introduction to physics of the solar system, stars, interstellar medium, the galaxy, and universe, as determined from a variety of astronomical observations and models.Topics include: planets, planet formation; stars, the Sun, "normal" stars, star formation; stellar evolution, supernovae, compact objects (white dwarfs, neutron stars, and black holes), plusars, binary X-ray sources; star clusters, globular and open clusters; interstellar medium, gas, dust, magnetic fields, cosmic rays; distance ladder; galaxies, normal and active galaxies, jets; gravitational lensing; large scaling structure; Newtonian cosmology, dynamical expansion and thermal history of the Universe; cosmic microwave background radiation; big-bang nucleosynthesis

Subjects

solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system; stars; interstellar medium; the Galaxy; the Universe; planets; planet formation; star formation; stellar evolution; supernovae; compact objects; white dwarfs; neutron stars; black holes; plusars | binary X-ray sources; star clusters; globular and open clusters; interstellar medium | gas | dust | magnetic fields | cosmic rays; distance ladder; | solar system | solar system | stars | stars | interstellar medium | interstellar medium | the Galaxy | the Galaxy | the Universe | the Universe | planets | planets | planet formation | planet formation | star formation | star formation | stellar evolution | stellar evolution | supernovae | supernovae | compact objects | compact objects | white dwarfs | white dwarfs | neutron stars | neutron stars | black holes | black holes | plusars | binary X-ray sources | plusars | binary X-ray sources | star clusters | star clusters | globular and open clusters | globular and open clusters | interstellar medium | gas | dust | magnetic fields | cosmic rays | interstellar medium | gas | dust | magnetic fields | cosmic rays | distance ladder | distance ladder | galaxies | normal and active galaxies | jets | galaxies | normal and active galaxies | jets | gravitational lensing | gravitational lensing | large scaling structure | large scaling structure | Newtonian cosmology | dynamical expansion and thermal history of the Universe | Newtonian cosmology | dynamical expansion and thermal history of the Universe | cosmic microwave background radiation | cosmic microwave background radiation | big-bang nucleosynthesis | big-bang nucleosynthesis | pulsars | pulsars | binary X-ray sources | binary X-ray sources | gas | gas | dust | dust | magnetic fields | magnetic fields | cosmic rays | cosmic rays | galaxy | galaxy | universe | universe | astrophysics | astrophysics | Sun | Sun | supernova | supernova | globular clusters | globular clusters | open clusters | open clusters | jets | jets | Newtonian cosmology | Newtonian cosmology | dynamical expansion | dynamical expansion | thermal history | thermal history | normal galaxies | normal galaxies | active galaxies | active galaxies | Greek astronomy | Greek astronomy | physics | physics | Copernicus | Copernicus | Tycho | Tycho | Kepler | Kepler | Galileo | Galileo | classical mechanics | classical mechanics | circular orbits | circular orbits | full kepler orbit problem | full kepler orbit problem | electromagnetic radiation | electromagnetic radiation | matter | matter | telescopes | telescopes | detectors | detectors | 8.282 | 8.282 | 12.402 | 12.402

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8.323 Relativistic Quantum Field Theory I (MIT) 8.323 Relativistic Quantum Field Theory I (MIT)

Description

In 8.323, Relativistic Quantum Field Theory I, concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics.Topics include: Classical field theory, symmetries, and Noether's theorem. Quantization of scalar fields and spin 1/2 fields. Interacting fields and Feynman diagrams. In 8.323, Relativistic Quantum Field Theory I, concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics.Topics include: Classical field theory, symmetries, and Noether's theorem. Quantization of scalar fields and spin 1/2 fields. Interacting fields and Feynman diagrams.

Subjects

Quantum physics | Quantum physics | Classical field theory | Classical field theory | symmetries | symmetries | and Noether's theorem | and Noether's theorem | Quantization of scalar fields | Quantization of scalar fields | spin fields | spin fields | and Gauge bosons | and Gauge bosons | Feynman graphs | Feynman graphs | analytic properties of amplitudes and unitarity of the S-matrix | analytic properties of amplitudes and unitarity of the S-matrix | Calculations in quantum electrodynamics (QED) | Calculations in quantum electrodynamics (QED) | Introduction to renormalization | Introduction to renormalization

License

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8.851 Strong Interactions (MIT) 8.851 Strong Interactions (MIT)

Description

Strong Interactions is a course in the construction and application of effective field theories, which are a modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from heavy quark decays and CP violation, factorization in hard processes (deep inelastic scattering and exclusive processes), non-relativistic bound states in field theory (QED and QCD), chiral perturbation theory, few-nucleon systems, and possibly other Standard Model subjects. Strong Interactions is a course in the construction and application of effective field theories, which are a modern tool of choice in making predictions based on the Standard Model. Concepts such as matching, renormalization, the operator product expansion, power counting, and running with the renormalization group will be discussed. Topics will be taken from heavy quark decays and CP violation, factorization in hard processes (deep inelastic scattering and exclusive processes), non-relativistic bound states in field theory (QED and QCD), chiral perturbation theory, few-nucleon systems, and possibly other Standard Model subjects.

Subjects

matching | matching | renormalization | renormalization | the operator product expansion | the operator product expansion | power counting | power counting | heavy quark decays | heavy quark decays | CP violation | CP violation | factorization in hard processes | factorization in hard processes | non-relativistic bound states in field theory (QED and QCD) | non-relativistic bound states in field theory (QED and QCD) | chiral perturbation theory | chiral perturbation theory | few-nucleon systems | few-nucleon systems | strong force | strong force | quarks | quarks | relativistic quantum field theory | relativistic quantum field theory | quantum chromodynamics | quantum chromodynamics | QCD | QCD | QCD Langrangian | QCD Langrangian | asymptotic freedom | asymptotic freedom | deep inelastic scattering | deep inelastic scattering | jets | jets | QCD vacuum | QCD vacuum | instantons | instantons | U(1) proglem | U(1) proglem | lattice gauge theory | lattice gauge theory | strong interactions | strong interactions | standard model | standard model | operator product expansion | operator product expansion | factorization | factorization | hard processes | hard processes | exclusive processes | exclusive processes | non-relativistic bound states | non-relativistic bound states | QED | QED | massive particles | massive particles | effective field theory | effective field theory | soft-collinear effective theory | soft-collinear effective theory

License

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Mr. Austin's servants Mr. Austin's servants

Description

Subjects

glassnegative | glassnegative | servants | servants | duffin | duffin | ferrybank | ferrybank | larkfield | larkfield | upstairsdownstairs | upstairsdownstairs | mraustin | mraustin | nationallibraryofireland | nationallibraryofireland | mrduffin | mrduffin | ahpoole | ahpoole | poolecollection | poolecollection | arthurhenripoole | arthurhenripoole | williamduffin | williamduffin | larkfieldhouse | larkfieldhouse | fivegotolarkfield | fivegotolarkfield | majoraustin | majoraustin

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21A.112 Seminar in Ethnography and Fieldwork (MIT) 21A.112 Seminar in Ethnography and Fieldwork (MIT)

Description

This course involves reading about how to do fieldwork, practicing fieldwork, reading ethnographies and about ethnography, and practicing writing ethnography. We will move from an overview of ethnography, to getting into the field, to writing fieldnotes, to analyzing data and writing a short ethnographic piece.We will, as you must in doing fieldwork and writing ethnographies, intersperse reading with fieldwork to theoretically inform both the fieldwork and the writing. The ethics of fieldwork and obligations to research subjects are discussed throughout the semester.  This course involves reading about how to do fieldwork, practicing fieldwork, reading ethnographies and about ethnography, and practicing writing ethnography. We will move from an overview of ethnography, to getting into the field, to writing fieldnotes, to analyzing data and writing a short ethnographic piece.We will, as you must in doing fieldwork and writing ethnographies, intersperse reading with fieldwork to theoretically inform both the fieldwork and the writing. The ethics of fieldwork and obligations to research subjects are discussed throughout the semester. 

Subjects

fieldwork | fieldwork | anthropology | anthropology | ethnography | ethnography | culture | culture | theory | theory | data analysis | data analysis | research design | research design | inerviewing | inerviewing | method | method | anthropological field work | anthropological field work | fieldnotes | fieldnotes | ethnographic writing | ethnographic writing | reflexive analysis | reflexive analysis | epistemology | epistemology

License

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From the Cradle to the Grave

Description

Collection: Cornell University Collection of Political Americana, Cornell University Library Repository: Susan H. Douglas Political Americana Collection, #2214 Rare & Manuscript Collections, Cornell University Library, Cornell University Title: From the Cradle to the Grave Political Party: Republican Date Made: 1881 Measurement: Print: 28 x 22 in.; 71.12 x 55.88 cm Classification: Prints Persistent URI: hdl.handle.net/1813.001/5z7h There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source.

Subjects

cornelluniversitylibrary | popularprints | portraits | garfieldjamesa | garfieldlucretiarudolph | busts | presidents | assassinations | deaths | mourning | motherandchild | presidentsspousesunitedstates | biographies | children | families | canals | youth | americancivilwar | battles | soldiers | animals | horses | whitehousewashingtondistrictofcolumbia | railroads | elberonnewjersey | churches | martyrs | poems | guiteaucharlesjulius | blainejamesgillespie | coffins | capitolwashingtondistrictofcolumbia | jamesagarfieldnationalhistoricsitementorohio | garfieldmemorialclevelandohio | cabinetofficers | culidentifier:value=2214pr0127 | culidentifier:lunafield=idnumber

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U.S. Infantry passing thro' a Mexican pueblo (LOC)

Description

Subjects

soldier | gun | rifle | soldiers | libraryofcongress | usarmy | unitedstatesarmy | m1903 | springfieldrifle | xmlns:dc=httppurlorgdcelements11 | campaignhat | m1903springfieldrifle | m1903springfield | model1903springfield | model1903springfieldrifle | dc:identifier=httphdllocgovlocpnpggbain21584

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Lt. Com. Z. Lansdowne (LOC) Lt. Com. Z. Lansdowne (LOC)

Description

Subjects

libraryofcongress | libraryofcongress | r34 | r34 | july61919 | july61919 | mineola | mineola | zacharylansdowne | zacharylansdowne | lansdowne | lansdowne | unitedstatesnavy | unitedstatesnavy | usnavy | usnavy | usn | usn | hazelhurstfield | hazelhurstfield | aviation | aviation | mineolanewyork | mineolanewyork | mineolalongisland | mineolalongisland | mineolany | mineolany | mineolali | mineolali | gardencitynewyork | gardencitynewyork | gardencityny | gardencityny | gardencitylongisland | gardencitylongisland | gardencityli | gardencityli | longisland | longisland | gardencity | gardencity | rooseveltfield | rooseveltfield | aviator | aviator | hmar34 | hmar34 | airshipr34 | airshipr34 | royalairforce | royalairforce | raf | raf | royalnavy | royalnavy | rn | rn | royalnavalairservice | royalnavalairservice | rnas | rnas | r33classairship | r33classairship | aircraft | aircraft | lighterthanair | lighterthanair | airship | airship | dirigible | dirigible | williambeardmorecompany | williambeardmorecompany | williambeardmoreandcompany | williambeardmoreandcompany | bearmorecompany | bearmorecompany | beardmoreandcompany | beardmoreandcompany | beardmore | beardmore | sunbeammotorcarcompany | sunbeammotorcarcompany | sunbeammotorcar | sunbeammotorcar | sunbeam | sunbeam | sunbeammaori | sunbeammaori | maoriengine | maoriengine | sunbeammaorimkiv | sunbeammaorimkiv | sunbeammarkiv | sunbeammarkiv | maorimkiv | maorimkiv | maorimarkiv | maorimarkiv | r33class | r33class

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Pilot House R-34 -- just after landing (LOC) Pilot House R-34 -- just after landing (LOC)

Description

Subjects

libraryofcongress | libraryofcongress | r34 | r34 | july61919 | july61919 | mineola | mineola | hazelhurstfield | hazelhurstfield | aviation | aviation | mineolanewyork | mineolanewyork | mineolalongisland | mineolalongisland | mineolany | mineolany | mineolali | mineolali | gardencitynewyork | gardencitynewyork | gardencityny | gardencityny | gardencitylongisland | gardencitylongisland | gardencityli | gardencityli | longisland | longisland | gardencity | gardencity | rooseveltfield | rooseveltfield | hmar34 | hmar34 | airshipr34 | airshipr34 | royalairforce | royalairforce | raf | raf | royalnavy | royalnavy | rn | rn | royalnavalairservice | royalnavalairservice | rnas | rnas | r33classairship | r33classairship | aircraft | aircraft | lighterthanair | lighterthanair | airship | airship | dirigible | dirigible | williambeardmorecompany | williambeardmorecompany | williambeardmoreandcompany | williambeardmoreandcompany | bearmorecompany | bearmorecompany | beardmoreandcompany | beardmoreandcompany | beardmore | beardmore | sunbeammotorcarcompany | sunbeammotorcarcompany | sunbeammotorcar | sunbeammotorcar | sunbeam | sunbeam | sunbeammaori | sunbeammaori | maoriengine | maoriengine | sunbeammaorimkiv | sunbeammaorimkiv | sunbeammarkiv | sunbeammarkiv | maorimkiv | maorimkiv | maorimarkiv | maorimarkiv | r33class | r33class

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18.702 Algebra II (MIT) 18.702 Algebra II (MIT)

Description

The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail. The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail.

Subjects

Sylow theorems | Sylow theorems | Group Representations | Group Representations | definitions | definitions | unitary representations | unitary representations | characters | characters | Schur's Lemma | Schur's Lemma | Rings: Basic Definitions | Rings: Basic Definitions | homomorphisms | homomorphisms | fractions | fractions | Factorization | Factorization | unique factorization | unique factorization | Gauss' Lemma | Gauss' Lemma | explicit factorization | explicit factorization | maximal ideals | maximal ideals | Quadratic Imaginary Integers | Quadratic Imaginary Integers | Gauss Primes | Gauss Primes | quadratic integers | quadratic integers | ideal factorization | ideal factorization | ideal classes | ideal classes | Linear Algebra over a Ring | Linear Algebra over a Ring | free modules | free modules | integer matrices | integer matrices | generators and relations | generators and relations | structure of abelian groups | structure of abelian groups | Rings: Abstract Constructions | Rings: Abstract Constructions | relations in a ring | relations in a ring | adjoining elements | adjoining elements | Fields: Field Extensions | Fields: Field Extensions | algebraic elements | algebraic elements | degree of field extension | degree of field extension | ruler and compass | ruler and compass | symbolic adjunction | symbolic adjunction | finite fields | finite fields | Fields: Galois Theory | Fields: Galois Theory | the main theorem | the main theorem | cubic equations | cubic equations | symmetric functions | symmetric functions | primitive elements | primitive elements | quartic equations | quartic equations | quintic equations | quintic equations

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Pilot House of R-34 (LOC) Pilot House of R-34 (LOC)

Description

Subjects

libraryofcongress | libraryofcongress | r34 | r34 | july61919 | july61919 | mineola | mineola | hazelhurstfield | hazelhurstfield | aviation | aviation | mineolanewyork | mineolanewyork | mineolalongisland | mineolalongisland | mineolany | mineolany | mineolali | mineolali | gardencitynewyork | gardencitynewyork | gardencityny | gardencityny | gardencitylongisland | gardencitylongisland | gardencityli | gardencityli | longisland | longisland | gardencity | gardencity | rooseveltfield | rooseveltfield | hmar34 | hmar34 | airshipr34 | airshipr34 | royalairforce | royalairforce | raf | raf | royalnavy | royalnavy | rn | rn | royalnavalairservice | royalnavalairservice | rnas | rnas | r33classairship | r33classairship | aircraft | aircraft | lighterthanair | lighterthanair | airship | airship | dirigible | dirigible | williambeardmorecompany | williambeardmorecompany | williambeardmoreandcompany | williambeardmoreandcompany | bearmorecompany | bearmorecompany | beardmoreandcompany | beardmoreandcompany | beardmore | beardmore | sunbeammotorcarcompany | sunbeammotorcarcompany | sunbeammotorcar | sunbeammotorcar | sunbeam | sunbeam | sunbeammaori | sunbeammaori | maoriengine | maoriengine | sunbeammaorimkiv | sunbeammaorimkiv | sunbeammarkiv | sunbeammarkiv | maorimkiv | maorimkiv | maorimarkiv | maorimarkiv | r33class | r33class

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Garfield Campaign and Memorial Items

Description

Collection: Cornell University Collection of Political Americana, Cornell University Library Repository: Susan H. Douglas Political Americana Collection, #2214 Rare & Manuscript Collections, Cornell University Library, Cornell University Title: Garfield Campaign and Memorial Items Political Party: Republican Election Year: 1880 Date Made: ca. 1880-1960 Measurement: Mount: 8 x 12 in.; 20.32 x 30.48 cm Classification: Ephemera Persistent URI: hdl.handle.net/1813.001/60sm There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source.

Subjects

cornelluniversitylibrary | portraits | medals | medallionsmedals | pendantsjewelry | souvenirs | clippings | garfieldjamesa | promotionalmaterials | arthurchesteralan | politics | lincolnabraham | garfieldlucretiarudolph | busts | profileportraits | events | inaugurations | wreaths | presidentsspousesunitedstates | deaths | mourning | assassinations | quotationstexts | shields | groupportraits | democracy | sunrises | mountains | animals | canalboats | canals | horses | whitehousewashingtondistrictofcolumbia | symbols | eagles | grandarmyoftherepublic | republicanparty | memory | eyes | unity | garfieldmemorialclevelandohio | americancivilwar | veterans | birds | culidentifier:value=2214tk0045 | culidentifier:lunafield=idnumber

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