2025 (Current Year) Faculty Courses School of Science Department of Physics Graduate major in Physics
Quantum Mechanics of Many-Body Systems
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Susumu Saito
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue / 3-4 Fri
- Class
- -
- Course Code
- PHY.Q438
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 1Q
- Syllabus updated
- Mar 19, 2025
- Language
- English
Syllabus
Course overview and goals
We will learn how to deal with many-particle systems and how to obtain their physical quantities. After the review of the second quantization, we learn Green's function method. In the latter half of this lecture, we learn the density-functional theory for many-particle systems, the linear response theory, and the methods for excited states.
Course description and aims
- Understanding the meaning of Green's function and knowing how to use them.
- Understanding the density functional theory.
- Understanding the linear response theory.
Keywords
second quantization, Green's function, density-functional theory, linear response theory
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
In-person lecture
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Hamiltonian in many-particle systems | Understand each lecture. |
| Class 2 | Second quantization for bosons | |
| Class 3 | Second quantization for fermions | |
| Class 4 | Fermi liquid theory and quasiparticles | |
| Class 5 | Hartree and Hartree-Fock approximations | |
| Class 6 | Green's function | |
| Class 7 | Physical quantities to be obtained from Green's function | |
| Class 8 | Lehmann representation and excitation spectra | |
| Class 9 | Self energy operator and quasiparticles | |
| Class 10 | Density functional theory | |
| Class 11 | Local density approximation and generalized gradient approximation | |
| Class 12 | Linear response theory | |
| Class 13 | Screening and effective interaction | |
| Class 14 | BCS theory of superconductivity | |
| Class 15 | Examination |
Study advice (preparation and review)
Review the note you took after each lecture and achieve comprehensive understanding. Ask what you do not understand in the next lecture.
Textbook(s)
References will be given in the lecture.
Reference books, course materials, etc.
References will be given in the lecture.
Evaluation methods and criteria
Evaluated based on the examination.
Related courses
- PHY.Q311 ： Quantum Mechanics III
Prerequisites
It is highly desired that students have mastered undergraduate quantum mechanics and statistical mechanics.