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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Nishida Yusuke
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(S421) Fri3-4(S421)
- Group
- -
- Course number
- PHY.Q438
- Credits
- 2
- Academic year
- 2018
- Offered quarter
- 1Q
- Syllabus updated
- 2018/3/20
- Lecture notes updated
- 2018/5/11
- Language used
- Japanese
- Access Index
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Course description and aims
Many-body quantum mechanics provides a way to describe systems consisting of many particles based on quantum mechanics.
The objective of this course is to learn the partition function represented by field functional integral (1st-4th classes), methods to treat inter-particle interactions (5th-8th classes), spontaneous symmetry breaking and its consequences (9th-12th classes), linear response theory and correlation functions (13th-15th classes).
Student learning outcomes
- Being able to explain the partition function represented by field functional integral, methods to treat inter-particle interactions, spontaneous symmetry breaking and its consequences, linear response theory and correlation functions.
- Being able to apply them to concrete problems and explain physical phenomena theoretically.
Keywords
Field Functional Integral, Perturbation Theory, Spontaneous Symmetry Breaking, Linear Response Theory
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Given in a usual lecture style in English.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Path Integral in Quantum Mechanics | Understand contents and results in each class and should be able to derive and explain them by oneself. |
| Class 2 | Second Quantization | |
| Class 3 | Coherent States | |
| Class 4 | Partition Functions of Free Bose and Fermi Gases | |
| Class 5 | Generating Functional and Feynman Diagrams | |
| Class 6 | Hartree and Fock Energies | |
| Class 7 | Random Phase Approximation and Screening | |
| Class 8 | Self-Energy and Quasiparticles | |
| Class 9 | Superfluidity: Bose-Einstein Condensation | |
| Class 10 | Superfluidity: Supercurrent and Landau Criterion | |
| Class 11 | Superconductivity: BCS Theory and Gap Equation | |
| Class 12 | Superconductivity: Meissner Effect and Zero Resistivity | |
| Class 13 | Measurement and Linear Response | |
| Class 14 | Correlation Funcitons | |
| Class 15 | Ohm's Law and Conductivity |
Textbook(s)
A. Altland and B. Simons "Condensed Matter Field Theory" (Cambridge University Press)
H. Bruus and K. Flensberg "Many-Body Quantum Theory In Condensed Matter Physics" (Oxford University Press)
L. S. Brown "Quantum Field Theory" (Cambridge University Press)
Reference books, course materials, etc.
Lecture notes will be distributed via OCW-i.
Assessment criteria and methods
Evaluated based on midterm report (40-50%) and final examination (50-60%).
Related courses
- ZUB.Q313 ： Quantum Mechanics III
- ZUB.S310 ： Thermodynamics and Statistical Mechanics II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
It is highly desired that students have mastered undergraduate quantum mechanics and statistical mechanics.
