Course Objectives Learn how to use quantum mechanics in research works It is recommended that those who have taken quantum physics (above) or related courses should take this course. The teaching content has nothing to do with the preparation for graduate school exams, so students who intend to prepare for the exam do not need to take this, but students who are interested in quantum mechanics are welcome to join the class. All the contents listed in the course syllabus will be introduced, but probably not following the orders in the list. Students taking this course will get to know the essential knowledge about the structure of quantum mechanics and its applications.  

Prerequisite

Textbook Textbook: 1. Quantum Mechanics - A Modern Introduction by Ashok Das & Adrian C. Melissinos 2. Modern Quantum Mechanics by J. J. Sakurai Reference books: 1. An introduction to Theory and Applications of Quantum Mechanics, by Amnon Yariv 2. The Feynman Lectures on Physics, Vol. III

Topical Outline 1. The basic assumptions of quantum mechanics and it mathematical description
2. The evolution of a quantum state: Schrodinger equation
3. Eigenstates: Simple harmonic oscillator, three-dimensional particle motion and angular momentum, hydrogen atom
4. Two-state system: spin and polarization
5. Quantum transition and perturbation theory: applications in solid-state physics and optics
6. Quantum Statistics
7. Coherent state, time-varying Schrodinger equation, and "geometrical and topological phases"
8. EPR theory, Bohm's theory, and Bell’s inequality
9. Introduction to quantum information