Teaching |
E-mail |
Chung-Yu Mou
| Quantum Mechanics (I)(II) |
量子力學 |
| 2001-2002 |
牟中瑜 |
| Syllabus |
授課大綱 |
助教:
吳雪鴻
phone: X2523, email: d893308@oz.nthu.edu.tw
office hour:禮拜三晚7:30到9:30,地點: 物圖
|
目標
本課程乃針對大四與大四以上的同學設計，
藉由詳細有系統的解說使同學掌握量子力學的基本原理。
為了讓同學一窺與這些原理有關的新發展，
將盡可能涵蓋新的題目如 Berry phase、AC effect。
對於其他有趣的題目如 quantum computer 或
由量子力學所引發概念上 (conceptual) 的問題，
可指導同學於課後討論。
(I) midterm: 11/7 (星期三), final: 1/9 (星期三)
- Foundations and Dirac notations
- Simple 1D systems
- Classical limit and the WKB approximation
- Uncertainty principle
- Particles in E.M. fields
- AB & AC effects
- Introduction to Feynman's path integral formulation
- Quantum harmonic oscillators
- Dirac's method
- Coherent states
- Identical particles
- Introduction to method of second quantization
- Symmetries and their consequences
(II) midterm & final to be determined
- Theory of angular momentum & rotations
- Elementary theory of orbital and spin angular momentum
- Particle in central potentials
- Time-reversal symmetry in spin-1/2 systems
- Addition of angular momenta
- Usage of Wigner-Eckart theorem
- Bell's inequality
- Approximate methods
- Variational method
- Non-degenerate & degenerate time-independent perturbation theories
- Time-dependent perturbation theory
- Adiabatic theorem & the Berry phase
- Introduction to scattering theory
- Born approximation & method of partial waves
- Introduction to relativistic quantum mechanics
- The Klein-Gordon & Dirac equations (single-particle theories)
Textbooks
- Principles of Quantum Mechanics, 2nd edition, by R. Shankar
- Modern Quantum Mechanics, 2nd edition, by J.J. Sakurai
References
- Feynman's Lectures on Physics, Vol.3
- Quantum Mechanics, I & II, by A. Messiah
- Quantum Mechanics, 3rd edition, by Landau & Lifshitz
計分方式
- 作業 1/3 期中考 1/3 期末考 1/3
- Advance Homework => 加分
- 作業成績之決定取決於小考或期中考中與作業一致的題目是否答對