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.
- Understanding the meaning of Green's function and knowing how to use them.
- Understanding the density functional theory.
- Understanding the linear response theory.
second quantization, Green function, density-functional theory, linear response theory
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Given in a usual lecture style in English.
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 | superconductivity | |
Class 15 | BCS theory |
References will be given in the lecture.
References will be given in the lecture.
Evaluated based on the examination.
It is highly desired that students have mastered undergraduate quantum mechanics and statistical mechanics.