Course Title : Quantum Theory of Molecular Physics

Code 10B617
Course Year Master and Doctor Course
Term 2nd term
Class day & Period Mon 2nd
Location C3-Lecture Room 2
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Senami, Junior associate professor (Lecturer)

Course Description

Basics for the application of quantum theory to molecular physics and recent progress. Main topics: analytic mechanics, relativistic quantum mechanics, quantum field theory, and path integral.

Grading

Homework paper instructed in class

Course Goals

Course Topics

Theme Class number of times Description
1. Analytic mechanics and symmetry in physics 2 Principle of least action, Equation of motion, Hamiltonian mechanics, Symmetry and conservation law in physics, Noether's theorem, Group theory
2. Classical relativistic theory 2 Invariance of the speed of light, Lorentz transformation, Relativistic form of electromagnetism, Four component vector potential
3. Relativistic quantum mechanics 4-6 Relativistic equation of motion, Nonrelativistic limit of Dirac equation, Covariance of Dirac equation, Plane wave solution for Dirac equation and negative energy, Hole theory and problem, Tani-Foldy-Wouthuysen transformation, Chrality
4. A primer of quantum field theory 2-4 Field operator, Charge conjugation, Noether's theorem, Gauge transformation and gauge symmetry, Application of quantum field theory to theoretical study of molecules and condensed matter
5. Electronic Structure Computation 2 Time evolution and propagator, Transition amplitude and path integral, Aharonov-Bohm effect, Path integral in quantum field theory
Confirmation 1

Textbook

Textbook(supplemental)

J. D. Bjorken, S. D. Drell, Relativistic Quantum Mechanics
J. J. Sakurai, Modern Quantum Mechanics, and Advanced Quantum Mechanics
R. P. Feynmann, A. R. Hibbs, Quantum Mechanics and Path Integrals

Prerequisite(s)

Quantum Mechanics

Independent Study Outside of Class

Web Sites

Additional Information

If English support is required, please contact the instructor by email. Then words written on a blackboard and some supplementary documents are provided in English.