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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Saito Susumu
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4() Fri3-4()
- Group
- -
- Course number
- PHY.Q438
- Credits
- 2
- Academic year
- 2021
- Offered quarter
- 1Q
- Syllabus updated
- 2021/4/12
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
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.
Student learning outcomes
- 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 function, density-functional theory, 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
Online (ZOOM) lecture in English
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| 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 |
Out-of-Class Study Time (Preparation and Review)
Review the video of each lecture and achieve comprehensive understanding.
Textbook(s)
References will be given in the lecture.
Reference books, course materials, etc.
References will be given in the lecture.
Assessment criteria and methods
Evaluated based on the examination.
Related courses
- PHY.Q311 ： Quantum Mechanics III
Prerequisites (i.e., required knowledge, skills, courses, etc.)
It is highly desired that students have mastered undergraduate quantum mechanics and statistical mechanics.
