中文课程简介

本课程将包括约16节课（每节课50分钟）。课程描述如下：

1.量子力学描述粒子运动状态的介绍。运算符和波函数。薛定谔方程。  （2节课）

2.经典和量子力学方法之间的差距和桥梁，用于研究特定系统，如谐振子和角动量。（4节课）

3.氢原子和多电子原子的量子理论。（4节课）

4.自旋轨道耦合和塞曼(Zeeman)效应。（3节课）

5.带电粒子在电场/磁场中的运动。均匀垂直磁场中的电子 – 朗道能级。整数量子霍尔效应(IQHE)。（3节课）

本课程的目的：学完本课程后，学生将为粒子运动的量子力学描述奠定坚实的基础，能够解决几个简单的量子力学问题，并能够应用于更真实的情况，如原子在外场的影响。学生还将学习量子力学现象的一个重要例子，即整数量子霍尔效应（IQHE）。

英文课程简介

This course will consist of about 16 lectures (50 minutes per lectures). The course description is as follows:

1.Introduction to quantum mechanical description of state of motion of particles. Operators and wave functions. Schrodinger time-dependent and time-independent equations.  (2 lectures)

2.Gaps and bridge between classical and quantum mechanical approaches to study specific systems such as harmonic oscillator and angular momentum. (4 lectures)

3.Quantum theory of hydrogen-like atoms and multi-electron atoms. (4 lectures)

4.The spin-orbit couplings and Zeeman effects. (3 lectures)

5.Charged particles coupled to electric/magnetic fields.  Electrons in a uniform perpendicular magnetic field - Landau levels. Integer quantum Hall effects (IQHE). (3 lectures)

The aim of this course: after taking this course, students will have built a solid foundation in quantum mechanical description of particle’s motion, will be able to solve several simple quantum mechanical problems and be able to apply to more realistic situations such as atoms in external fields. Students will also learn an important example of quantum mechanical phenomenon, the Integer Quantum Hall Effects (IQHE).