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- 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(H116) Fri3-4(H116)
- Group
- -
- Course number
- PHY.Q438
- Credits
- 2
- Academic year
- 2016
- Offered quarter
- 1Q
- Syllabus updated
- 2016/12/14
- Lecture notes updated
- 2016/5/27
- 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.
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 of each lecture and be able to reproduce it on his/her own |
| Class 2 | coherent states | |
| Class 3 | field functional integral | |
| Class 4 | partition functions of free Bose and Fermi gases | |
| Class 5 | perturbation theory and Feynman diagrams | |
| Class 6 | energy of electron gas | |
| Class 7 | random phase approximation and screening | |
| Class 8 | Fermi liquid theory and quasiparticles | |
| Class 9 | mean field approximation | |
| Class 10 | Bose-Einstein condensation and superfluidity | |
| Class 11 | superconductivity and BCS theory | |
| Class 12 | Anderson-Higgs mechanism | |
| Class 13 | measurement and linear response | |
| Class 14 | correlation funcitons | |
| Class 15 | response to electromagnetic fields |
Textbook(s)
A. Altland and B. Simons "Condensed Matter Field Theory" (Cambridge University Press)
Reference books, course materials, etc.
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)
Assessment criteria and methods
midterm report (30-40%) and final examination (60-70%)
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.
