Instructor
Kittiwit Matan, Office P-622, email: kittiwit.mat@mahidol.edu
Class:
P-624 Mon 13:30-16:30
Textbooks
J. J. Sakurai, “Modern Quantum Mechanics”, Addison-Wesley (1994).
J. J. Sakurai, “Advanced Quantum Mechanics”, Addison-Wesley (1967).
D. J. Griffiths, “Introduction to Quantum Mechanics”, Prentice Hall, New Jersey (1995).
Course Description
We will start this course by exploring the basic principles of quantum mechanics and reviewing
exactly-solvable problems in quantum mechanics, such as harmonic oscillator. We will then move to the
discussion of an alternative derivation of quantum mechanics using the path integral formulation.
Then, we will discuss the rotation operator and approximation methods, such as variational
and WKB methods. In the second half of the course, we will discuss the perturbation theory,
quantum Hall effect, Relativistic quantum mechanics, and end the course with the scattering
theory.
Course Outline:
Lecture 1 : Basic Ideas of Quantum Mechanics
Lecture 2 : Wave function and Postulate of Quantum Mechanics
Lecture 3 : Review of Schrödinger Equation
Lecture 4 : Harmonic Oscillator and Coherent States
Lecture 5 : Path Integral Formulation of Quantum Theory
Lecture 6 : Rotation groups and angular momentum
Lecture 7 : Variational and WKB Methods
Lecture 8 : Time-independent Perturbation Theory
Lecture 9 : Two-State Systems and Time-Dependent Perturbation Theory
Homework:
Homework will be given weekly. Most problems will be from either Griffiths or Sakurai. The homework must be
handed in one week after it is given. It will be graded and given back to you. You are encouraged to work
together and discuss the problems with your peers.
Extra Reading:
