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 授業科目
 Course Title
物性物理学特論
Advanced Condensed Matter Physics
 担当者
 Instructor
教授   木村 敬  後学期 木曜日2時限
 単 位
 Credit
2

関連するディプロマポリシー Related Diploma Policy
時代の課題と社会の要請に応えた専門的知識と技能/Expert knowledge and skills to address the issues of the age and the demands of society
 
到達目標 Target to be Reached
Superconductivity and superfluidity are representative phenomena in condensed matter physics. This course introduces the foundations of superconductivity and superfluidity, which essentially correspond to the Bose–Einstein condensation (BEC) of (effective) bosons.

 
授業内容 Course Content
Initiating from the creation and annihilation operators in a harmonic oscillator, field quantization is introduced. Based on this concept, the Bardeen–Cooper–Schrieffer (BCS) theory of superconductivity, BEC of an ideal Bose gas, and superfluidity of liquid helium-4 are comprehensively explained.
 
授業計画 Course Planning
The lecture contents for each period are summarized as follows; however, the contents may undergo slight changes while the course is in progress. Reading the textbook as a preparation and
rereading the notebook and the textbook as a review will take about 4 hours every week.

1) The creation and annihilation operators in a harmonic oscillator
Based on the commutation relation between the momentum and position operators, the creation and annihilation operators are introduced.
2) Field quantization
Using an electromagnetic field as an example, a field quantization method is introduced.
3) Many-particle states
The many-particle states of bosons and fermions are explained.
4) Many-particle Hamiltonian
After introducing the method of forming a many-particle Hamiltonian, the Hamiltonian of an electron–phonon coupling is explained as an example.
5) Superconductivity phenomena
Students will study superconductivity phenomena, including the zero resistance and the Meissner effect.
6) Effective Hamiltonian of a superconductor
Students will study the effective Hamiltonian of a superconductor with electron–phonon coupling.
7) Ground state of a superconductor
The ground-state properties of superconductors, including the superconducting energy gap, are explained.
8) Superconductor at a finite temperature
The superconducting properties at finite temperature, including the superconducting gap and specific heat, are explained.
9) Currents in a superconductor
The electric current properties in a superconductor, including the permanent current under a magnetic field and the Josephson effect, are explained.
10) BEC
As the first step in the study of superfluids, the BEC of ideal bosons is introduced.
11) Superfluid phenomena
Superfluid phenomena, including zero viscosity, are introduced.
12) Superfluid wave function
The macroscopic superfluid wave function is introduced.
13) Phonons and rotons
The elemental excitations of the superfluid state, such as phonons and rotons, are explained.
14) Critical velocity and vortex
The critical velocity, where the superfluid state breaks down, and quantized vortexes of the superfluid state are explained.


 
授業運営 Course Management
Lectures form the basis for how a professor will impart lessons. However, when there are only a few students attending the lecture, the class is conducted as a colloquium.

 
評価方法 Evaluation Method
Scholastic evaluation is determined based on the reports.

 
オフィスアワー Office Hour (s)
The professor accepts questions during the lunch break or in the fifth lecture, which is conducted in his office (room number: 6-212).

 
使用書 Textbook (s)
R. Feynman,Statistical Mechanics,Addison Wesley,1972


 
 
 
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