固体物理第三(学部4年): 2014年 夏学期

4月8日
1. Introduction
1.1. The aim of "material science"
1.2. General set up of the problem: Adiabatic approximation
1.3. Plan of this lecture
4月15日
2. Second quantization
2.1. Second quantization of many boson systems
2.2. Second quantization of many fermion systems
2.3. Second quantization form of operators
3. Many electron systems
3.1. Most simplified case: homogenous electron gas
3.2. Electrons in a perfect crystal: Hubbard model
4月22日
3.2. Electrons in a perfect crystal: Hubbard model (cont'd)
3.3. Hartree approximation
 3.3.1. general formulation
 3.3.2. Hartree approximation as a mean-field theory
 3.3.3. relation to the variational principle
3.4. Hartree-Fock approximation
 3.4.1. general formulation
 3.4.2. Hartree-Fock approximation for a homogeneous electron gas
4月29日(祝日のため休講)
5月1日(振替授業)
 3.4.2. Hartree-Fock approximation for a homogeneous electron gas (cont'd)
 3.4.4. Hartree-Fock approximation for the Hubbard model
5月13日
3.5. Dielectric response
 3.5.1. dielectric response of a homogeneous noninteracting electron gas
 3.5.2. static limit ω=0
 3.5.3. large ω limit
5月20日
 3.5.4. Electron-electron correlation effect
 3.5.5. Kramers-Kronig relations
4. Many boson systems
4.1. Phonons
4.2. Bose-Einstein condensation in noninteracting bose gas
5月27日
4.2. Bose-Einstein condensation in noninteracting bose gas (cont'd)
4.3. Interacting many boson system: Bogoliubov theory
6月3日
4.3. Interacting many boson system: Bogoliubov theory (cont'd)
5. Electron-phonon interaction
5.1. General formulation
5.2. Second-order perturbation in electron-phonon interaction
 5.2.1. Kohn anomaly
6月10日
 5.2.1. Kohn anomaly (cont'd)
 5.2.2. effective electron-electron interaction
6. Superconductivity
6.1. Material history
6月17日
6.2. Phenomena (conventional superconductors)
6.3. Cooper pair instability
6.4. Bardeen-Cooper-Schrieffer theory
 6.4.1. BCS Hamiltonian and BCS wave function
6月24日
 6.4.2. variational calculation
 6.4.3. energy gain of the BCS state
 6.4.4. critical magnetic field at zero temperature
 6.4.5. mean-field treatment: quasi-particles
7月1日
 6.4.5. mean-field treatment: quasi-particles (cont'd)
 6.4.6. critical temperature
 6.4.7. temperature dependence of the gap function
7月8日
休講
7月15日
休講
7月22日
 6.4.7. temperature dependence of the gap function (cont'd)
 6.4.8. specific heat
 6.4.9. zero resistivity
 6.4.10. Meissner-Ochsenfeld effect
7月29日
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