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* proper and improper mixed states in quantum mechanics and the density operator,
*Second quantization for bosons and fermions.
* entanglement and decoherence in quantum mechanics,
*Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity.
* equilibrium partition function for noninteracting bosons and fermions,
*Time-dependent perturbation theory: Dyson and Magnus expansions.
* electrons in solids,
*Floquet theory of periodically driven time-dependent quantum systems.
* stellar astrophysics,
*Berry phase and wavefunctions for time-dependent quantum systems.
* Bose-Einstein condensation in cold atomic gases,
*Quantum mechanics of electromagnetic field.
* phase transitions and critical phenomena (with emphasis on magnetic systems),
*Nonclassical light.
* mean field theory vs. renormalization group methods,
*Scattering theory.
* quantum phase transitions,
*Relativistic quantum mechanics.
* elements of nonequilibrium statistical physics: Boltzmann equation, Kubo formula and quantum master equations.
 
Time-dependent quantum systems: Magnus expansion, Floquet theorem, adiabatic approximation and Berry phase. Scattering theory. Many-particle systems. Second quantization for bosons and fermions. Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity. Quantum mechanics of electromagnetic field. Relativistic quantum mechanics.

Revision as of 13:13, 2 August 2019

  • Second quantization for bosons and fermions.
  • Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity.
  • Time-dependent perturbation theory: Dyson and Magnus expansions.
  • Floquet theory of periodically driven time-dependent quantum systems.
  • Berry phase and wavefunctions for time-dependent quantum systems.
  • Quantum mechanics of electromagnetic field.
  • Nonclassical light.
  • Scattering theory.
  • Relativistic quantum mechanics.

Time-dependent quantum systems: Magnus expansion, Floquet theorem, adiabatic approximation and Berry phase. Scattering theory. Many-particle systems. Second quantization for bosons and fermions. Applications of second quantization: Hartree-Fock method, magnetism, superconductivity and superfluidity. Quantum mechanics of electromagnetic field. Relativistic quantum mechanics.