Quantum Theory of Molecular Physics
| Numbering Code | G-ENG06 7B617 LB71 | Year/Term | 2022 ・ Second semester |
|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture |
| Target Year | Target Student | ||
| Language | Japanese | Day/Period | Mon.2 |
| Instructor name | SENAMI MASATO (Graduate School of Engineering Senior Lecturer) | ||
| Outline and Purpose of the Course | 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. | ||
| Course Goals | To understand fundamental physics to apply quantum mechanics to phenomena of atoms or molecules. | ||
| Schedule and Contents |
1. Analytic mechanics and symmetry in physics, 1 times, 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 times,Invariance of the speed of light, Lorentz transformation, Relativistic form of electromagnetism, Four component vector potential 3. Relativistic quantum mechanics, 4-7 times,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, Hydrogen-like atom, Helicity and Chrality 4. A primer of quantum field theory, 2-4 times,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, 1-2 times,Time evolution and propagator, Transition amplitude and path integral, Aharonov-Bohm effect, Path integral in quantum field theory Confirmation ,1time, |
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| Evaluation Methods and Policy | Evaluation will be based on assignments (four - six times, 100 points). | ||
| Course Requirements | Quantum Mechanics | ||
| Study outside of Class (preparation and review) | Review lecture notes. | ||
| References, etc. |
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 |
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