| 课程号 |
00432216 |
学分 |
2 |
| 英文名称 |
Quantum Mechanics (ll) |
| 先修课程 |
量子力学Ⅰ |
| 中文简介 |
在量子力学Ⅰ的基础上，介绍He原子和多电子原子的基本理论, 主要讨论量子力学中的微扰理论和变分方法; Hartree 理论, Hartree-Fock 理论和Thomas-Fermi理论. 双原子分子、多原子分子的转动谱和振动谱. 价键理论的基本概念. 介绍量子力学中的Feynman 路径积分方法（以自由粒子和谐振子为例）. 介绍WKB近似，Bohr 量子化条件，势垒的隧穿。量子力学里态的相干态描述; 介绍量子力学中的相位, 包括Aharonov-Bohm 效应的实验观察; 引力导致的量子力学相位效应; Berry 相和 Aharonov-Anandan 的介绍. 讨论量子力学中的密度矩阵理论和Wigner 函数的概念. |
| 英文简介 |
This course is intended for senior undergraduate students or motivated junior undergraduate students in physics
major or chemistry major who have completed the study of the one-semester course of quantum mechanics. The level is more advanced than the usual course of quantum mechanics. Several topics listed below will get discussed
at a high level. The method of the perturbation theory and the variational theory
in quantum mechanics will be presented at the beginning. Introductory materials to the study of the
atom of helium and those with more than two electrons are then presented the next. The methods of Hartree theory, Hartree-Fock theory, and Thomas-Fermi theory are discussed; quantum mechanical many-body theory is presented but at the level of an intruduction. The main topics further cover several other basics in the quantum chemstry, like the rotation and vibration of a diatom molecule and other small (and somehow simple) molecules. The path integral approach of Feynman to quantum mechanics is discussed. The course also include the subjects on the semi-classical methods such as WKB approximation; the application of them to bound states and scattering states is discussed. The final part of this course is devoted specifically to the topic on phases in quantum mechanics. After introducing the concept of phase in quantum mechanics,
we discuss their effects in the Aharonov-Bohm experiments and other important experiments. On theoretical
aspect, we introduce and discuss the concepts of the Berry phase and the Aharonov-Anandan phase. The theory
of density matrix and the introduction to the Wigner function might also be presented in the course, though not always. |
| 开课院系 |
物理学院 |
| 成绩记载方式 |
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| 通识课所属系列 |
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| 授课语言 |
中文 |
| 教材 |
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| 参考书 |
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| 教学大纲 |
在量子力学基础有较全面的教育
在量子力学Ⅰ的基础上，介绍He原子和多电子原子的基本理论, 主要讨论量子力学中的微扰理论和变分方法; Hartree 理论, Hartree-Fock 理论和Thomas-Fermi理论. 双原子分子、多原子分子的转动谱和振动谱. 价键理论的基本概念. 介绍量子力学中的Feynman 路径积分方法（以自由粒子和谐振子为例）. 介绍WKB近似，Bohr 量子化条件，势垒的隧穿。量子力学里态的相干态描述; 介绍量子力学中的相位, 包括Aharonov-Bohm 效应的实验观察; 引力导致的量子力学相位效应; Berry 相和 Aharonov-Anandan 的介绍. 讨论量子力学中的密度矩阵理论和Wigner 函数的概念.
课堂讲授
笔试
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