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Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.Subjects

condensed matter systems | condensed matter systems | low-dimension magnetic and electronic systems | low-dimension magnetic and electronic systems | disorder and quantum transport | disorder and quantum transport | magnetic impurities | magnetic impurities | the Kondo problem | the Kondo problem | quantum spin systems | quantum spin systems | the Hubbard model | the Hubbard model | high temperature superconductors | high temperature superconductors | Bose Condensates | Bose Condensates | Quasiparticles | Quasiparticles | Collective Modes | Collective Modes | Superfluidity | Superfluidity | Vortices | Vortices | Fermi Gases | Fermi Gases | Fermi Liquids | Fermi Liquids | Collective Excitations | Collective Excitations | Cooper Pairing | Cooper Pairing | BCS Theory | BCS Theory | Off-diagonal Long-range Order | Off-diagonal Long-range Order | Superconductivity | Superconductivity | Atom Interacting | Atom Interacting | Optical Fields | Optical Fields | Lamb Shift | Lamb Shift | Casimir Effect | Casimir Effect | Dicke Superradiance | Dicke Superradiance | Quantum Transport | Quantum Transport | Wave Scattering | Wave Scattering | Disordered Media | Disordered Media | Localization | Localization | Tunneling | Tunneling | Instantons | Instantons | Macroscopic Quantum Systems | Macroscopic Quantum Systems | Coupling | Coupling | Thermal Bath | Thermal Bath | Spin-boson Model | Spin-boson Model | Kondo Effect | Kondo Effect | Spin Dynamics | Spin Dynamics | Gases Transport | Gases Transport | Solids Transport | Solids Transport | Cold Atoms | Cold Atoms | Optical Lattices | Optical Lattices | Quantum Theory | Quantum Theory | Photodetection | Photodetection | Electric Noise | Electric NoiseLicense

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.htmSite sourced from

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In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.Subjects

condensed matter systems | condensed matter systems | low-dimension magnetic and electronic systems | low-dimension magnetic and electronic systems | disorder and quantum transport | disorder and quantum transport | magnetic impurities | magnetic impurities | the Kondo problem | the Kondo problem | quantum spin systems | quantum spin systems | the Hubbard model | the Hubbard model | high temperature superconductors | high temperature superconductors | Bose Condensates | Bose Condensates | Quasiparticles | Quasiparticles | Collective Modes | Collective Modes | Superfluidity | Superfluidity | Vortices | Vortices | Fermi Gases | Fermi Gases | Fermi Liquids | Fermi Liquids | Collective Excitations | Collective Excitations | Cooper Pairing | Cooper Pairing | BCS Theory | BCS Theory | Off-diagonal Long-range Order | Off-diagonal Long-range Order | Superconductivity | Superconductivity | Atom Interacting | Atom Interacting | Optical Fields | Optical Fields | Lamb Shift | Lamb Shift | Casimir Effect | Casimir Effect | Dicke Superradiance | Dicke Superradiance | Quantum Transport | Quantum Transport | Wave Scattering | Wave Scattering | Disordered Media | Disordered Media | Localization | Localization | Tunneling | Tunneling | Instantons | Instantons | Macroscopic Quantum Systems | Macroscopic Quantum Systems | Coupling | Coupling | Thermal Bath | Thermal Bath | Spin-boson Model | Spin-boson Model | Kondo Effect | Kondo Effect | Spin Dynamics | Spin Dynamics | Gases Transport | Gases Transport | Solids Transport | Solids Transport | Cold Atoms | Cold Atoms | Optical Lattices | Optical Lattices | Quantum Theory | Quantum Theory | Photodetection | Photodetection | Electric Noise | Electric NoiseLicense

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.htmSite sourced from

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See all metadata8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.Subjects

condensed matter systems | low-dimension magnetic and electronic systems | disorder and quantum transport | magnetic impurities | the Kondo problem | quantum spin systems | the Hubbard model | high temperature superconductors | Bose Condensates | Quasiparticles | Collective Modes | Superfluidity | Vortices | Fermi Gases | Fermi Liquids | Collective Excitations | Cooper Pairing | BCS Theory | Off-diagonal Long-range Order | Superconductivity | Atom Interacting | Optical Fields | Lamb Shift | Casimir Effect | Dicke Superradiance | Quantum Transport | Wave Scattering | Disordered Media | Localization | Tunneling | Instantons | Macroscopic Quantum Systems | Coupling | Thermal Bath | Spin-boson Model | Kondo Effect | Spin Dynamics | Gases Transport | Solids Transport | Cold Atoms | Optical Lattices | Quantum Theory | Photodetection | Electric NoiseLicense

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.htmSite sourced from

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See all metadata8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.Subjects

condensed matter systems | low-dimension magnetic and electronic systems | disorder and quantum transport | magnetic impurities | the Kondo problem | quantum spin systems | the Hubbard model | high temperature superconductors | Bose Condensates | Quasiparticles | Collective Modes | Superfluidity | Vortices | Fermi Gases | Fermi Liquids | Collective Excitations | Cooper Pairing | BCS Theory | Off-diagonal Long-range Order | Superconductivity | Atom Interacting | Optical Fields | Lamb Shift | Casimir Effect | Dicke Superradiance | Quantum Transport | Wave Scattering | Disordered Media | Localization | Tunneling | Instantons | Macroscopic Quantum Systems | Coupling | Thermal Bath | Spin-boson Model | Kondo Effect | Spin Dynamics | Gases Transport | Solids Transport | Cold Atoms | Optical Lattices | Quantum Theory | Photodetection | Electric NoiseLicense

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.htmSite sourced from

https://ocw.mit.edu/rss/all/mit-allsimplifiedchinesecourses.xmlAttribution

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See all metadata8.514 Strongly Correlated Systems in Condensed Matter Physics (MIT)

Description

In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.Subjects

condensed matter systems | low-dimension magnetic and electronic systems | disorder and quantum transport | magnetic impurities | the Kondo problem | quantum spin systems | the Hubbard model | high temperature superconductors | Bose Condensates | Quasiparticles | Collective Modes | Superfluidity | Vortices | Fermi Gases | Fermi Liquids | Collective Excitations | Cooper Pairing | BCS Theory | Off-diagonal Long-range Order | Superconductivity | Atom Interacting | Optical Fields | Lamb Shift | Casimir Effect | Dicke Superradiance | Quantum Transport | Wave Scattering | Disordered Media | Localization | Tunneling | Instantons | Macroscopic Quantum Systems | Coupling | Thermal Bath | Spin-boson Model | Kondo Effect | Spin Dynamics | Gases Transport | Solids Transport | Cold Atoms | Optical Lattices | Quantum Theory | Photodetection | Electric NoiseLicense

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.htmSite sourced from

https://ocw.mit.edu/rss/all/mit-allcourses.xmlAttribution

Click to get HTML | Click to get attribution | Click to get URLAll metadata

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