固体物理第三(学部4年): 2011年 夏学期

5月10日
1. Introduction
1.1. Where are we going?
1.2. General set up of the problem: Adiabatic approximation
1.3. Plan of this lecture
5月17日
2. Second quantization
2.1. Harmonic oscillator
2.2. Second quantization of many boson systems
2.3. Second quantization of many fermion systems
2.4. Second quantized form of operators
5月24日
休講
5月31日
休講
6月4日(振替授業)
2.5. Field operators
3. Many electron systems
3.1. Homogeneous electron gas
3.2. General form in the Bloch representation
3.3. Hubbard model
3.4. Hartree approximation
 3.4.1. general formulation
6月7日
 3.4.2. Hartree approximation as a mean-fielsd theory
 3.4.3. derivation from the variational principle
3.5. Hartree-Fock approximation
 3.5.1. formulation
 3.5.2. Hartree-Fock approximation as a mean-field theory
 3.5.3. in the second quantized form
6月14日
 3.5.4. Hartree-Fock approximation for a homogeneous electron gas
 3.5.5. Hartree-Fock approximation for the Hubbard model
3.6. Dielectric response
 3.6.1. dielectric response of a homogeneous electron gas
6月21日
 3.6.2. static limit ω=0
 3.6.3. large ω limit
 3.6.4. electron-electron correlation effect
 3.6.5. Kramers-Kronig relations
4. Many boson systems
4.1. Phonons
6月28日
4.1. Phonons (cont'd)
4.2. Bose-Einstein condensation in noninteracting bose gas
4.3. Interacting many boson systems: Bogoliubov theory
7月5日
4.3. Interacting many boson systems: Bogoliubov theory (cont'd)
5. Electron-phonon interaction
5.1. General formulation
7月8日(補講)
5.2. Second-order perturbation in electron-phonon interaction
 5.2.1. Kohn anomaly
 5.2.2. effective electron-electron interaction
6. Superconductivity
6.1. Phenomena (conventional superconductors)
7月12日
6.2. Cooper pair instability
6.3. Bardeen-Cooper-Schrieffer (BCS) theory
 6.3.1. variational calculation
7月19日
 6.3.2. mean-field treatment: quasiparticles
 6.3.3. finite temperature
7. Magnetism
7.1. Magnetic moments
7月26日
7.1. Magnetic moments (cont'd)
7.2. Paramagnetism of noninteracting magnetic moments
7.3. Exchange interactions
8月2日
7.3. Exchange interactions (cont'd)
7.4. Models for localized spin systems
7.5. Mean-field approximation
8月9日
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