This is the second semester of a graduate quantum mechanics course, which is designed for first-year graduate students in physics. It may be appropriate for students of mathematics, chemistry, and engineering who have finished the first semester of the graduate quantum mechanics. At the end of this semester, students are expected to understand the time-independent as well as time-dependent perturbations in various quantum systems.

There is no required textbook for the course. However, all students should be able to access the following textbooks on hand as some of the homework problems will be selected from the problems in the textbooks. A selection of recommended books is described below.

• J. J. Sakurai, Modern Quantum Mechanics, Revised Edition (Addison Wesley, 1994)
• Choonkyu Lee, Essential Quantum Physics vol 1 (1999) Chungbum Publishing Co.

• E. Merzbacher, Quantum Mechanics
• R. Shankar, Principles of Quantum Mechanics
• D.J. Griffiths, Introduction to Quantum Mechanics
• C. Cohen-Tannoudji, B. Diu and F. Laloe, Quantum Mechanics

1. Introduction:
2. review on the postulates of quantum mechanics; complete sets of compatible observables; uncertainty relations; state vectors and operators; the Schrodinger picture; the Heisenberg picture
3. Steady state approximation methods:
4. non-degenerate perturbation theory; degenerate perturbation theory; WKB semi-classical method; unitary transformations.
5. Scattering Theory:
6. the Rayleigh-Ritz variational method; Brillouin-Wigner perturbation theory
7. Time-dependent perturbation theory:
8. Fermi golden rule; harmonic perturbations; interaction picture;
9. Quantized Radiation Fields:
10. classical electro-magnetic interactions; lights; quantized radiation fields; spontaneous emission; detailed balance; electric dipole transition; magnetic dipole and electric quadrupole transitions; Raman scattering;
11. Quantum Statistical Mechanics:
12. identical particles; bosons and fermions; second quantization;
13. Non-relativistice Many-Particle Systems:
14. Fermi liquids; Hatree-Fock theory; Green's function; self-energy; quasi-particles; Linear response; Atoms; Molecules; Hubbard model; Anderson Impurity model
15. Computational Methods:
16. numerical algorithms; Density Functional Theory;
17. Relativistic Quantum Mechanics
18. Klein-Gordon equation; Lorentz invariance; conserved current and charge; interaction with the electromagnetic field, Dirac equation; spin-1/2 particle; nonrelativistic limit of the Dirac equation

Homework assignments and supplementary material will be posted through the class homepage at http://phya.snu.ac.kr.

Homework problems will be assigned weekly and due the following week. Late homework will not be accepted without a prior consent from either me or teaching assistants. The homework is an essential part of the course. Most of concepts and techniques can be acquired through the homework. You are encouraged to discuss the homework with others, but what you hand in finally should be the one of your own.

We may have a mid-term and a final exam. The time and place will be announced in time.

The grading will be done based on homework (25%), one mid-term (30%), and final (30%), and the classroom activity (15%).