固体物理第三(学部4年): 2013年 夏学期

4月9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
4月16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23日
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30日
 3.4.2. Hartree-Fock approximation for a homogeneous electron gas (cont'd)
 3.4.4. Hartree-Fock approximation for the Hubbard model
3.5. Dielectric response
5月7日(月曜日の授業の振替のため休講)
5月14日
 3.5.1. dielectric response of a homogeneous electron gas
 3.5.2. static limit ω=0
 3.5.3. large ω limit
5月21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28日
4.2. Bose-Einstein condensation in noninteracting bose gas (cont'd)
4.3. Interacting many boson system: Bogoliubov theory
6月4日
5. Electron-phonon interaction
5.1. General formulation
5.2. Second-order perturbation in electron-phonon interaction
 5.2.1. Kohn anomaly
 5.2.2. effective electron-electron interaction
6月11日
 5.2.2. effective electron-electron interaction (cont'd)
6. Superconductivity
6.1. Material history
6.2. Phenomena (conventional superconductors)
6.3. Cooper pair instability
6月18日
休講
6月25日
休講
7月2日
6.4. Bardeen-Cooper-Schrieffer theory
 6.4.1. BCS Hamiltonian and BCS wave function
 6.4.2. variational calculation
7月9日
 6.4.3. mean-field treatment: quasi-particles
 6.4.4. finite temperature
7月9日(補講)
7. Magnetism
7.1. Magnetic moments
7.2. Paramagnetism of noninteracting magnetic moments
7.3. Exchange interactions
7月16日(金曜日の授業の振替のため休講)
7月23日(補講)
7.4. Exchange interactions (cont'd)
7.5. Models for localized spin systems
7.6. Mean-field approximation
7月30日
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