课程 - 国家高等教育智慧教育平台

研究生教育

慕课西部行

量子力学

量子力学

少于1000 人选课

更新日期：2025/06/30

开课平台	学银在线
开课高校	杭州电子科技大学
开课教师	李源、周昱、陈梦南、王世宽、葛力、饶文嘉
学科专业	理学物理学类

开课时间	2025/02/21 - 2025/07/31
课程周期	23 周
开课状态	开课中
每周学时	-

课程简介

这门课将讲述量子力学的基本概念、量子理论的诞生、波函数和薛定谔方程，包括势阱的束缚态、谐振子和隧道效应等，算符和海森堡不确定关系、中心对称场的运动、态和海森堡方程，包括谐振子和角动量的代数方法，为固体物理、半导体物理等后续课程的学习打下基础。

课程大纲

Chapter 1 The discovery of quantum theory

1.1 Blackbody radiation and plank’s hypothesis
1.2 Photoelectric effect and Einstein’s hypothesis
1.3 The atomic spectra and Bohr’s model
1.4 Wave-particle duality of physical particles
1.5 第01章习题解答
1.6 第01章测试题

Chapter 2 Wavefunction and schrodinger equation

2.1 The de Broglie hypothesis and Davisson-Germer experiment
2.2 Schrodinger equation
2.3 Stationary solutions
2.4 General properties of motion in one dimension
2.5 Bound states in potential well
2.6 The harmonic oscillator
2.7 Tunnelling effect
2.8 第02章习题解答
2.9 第02章测试题

Chapter 3 Operators and Heisenberg uncertainty relation

3.1 Observables and operators
3.2 Hermitian operators and their properties
3.3 some example operators
3.4 Evaluation of the expectation values
3.5 The Heisenberg uncertainty relation
3.6 The time evolution of expectation values
3.7 第03章习题解答

Chapter 4 Motion in a centrally symmetric field

4.1 Three dimensional harmonic oscillators
4.2 The feature of motion in a centrally symmetric field
4.3 Spherical vaves and plane waves
4.4 Motion in a coulomb field
4.5 Hydrogen-like energy levels
4.6 Hydrogen atom and Hydrogen-like ions
4.7 第04章习题讲解
4.8 第04章测试题

Chapter 5 States and Heisenberg equation

5.1 Matrix representation of operators
5.2 States and their representations
5.3 The Heisenberg equation
5.4 Algebraic approach for harmonic oscillator
5.5 Algebraic approach for angular momentum
5.6 第05章习题讲解
5.7 第05章测试题

Bound state perturbation and Corrections to energy levels

6.1 Nondegenerate perturbation theory
6.2 Degerate perturbation theory
6.3 Stark effect
6.4 第06章测试题

Time-Dependent Perturbation and Quantum Transitions

7.1 Perturbation Depending on Time; Two-level system
7.2 General consideration and sudden perturbation

Scattering Theory for Elastic Collisions

8.1 Formulation of scattering problem
8.2 Born approximation
8.3 Partial wave expansion
8.4 Lab frame and center of mass frame

Motion in a magnetic field

9.1 Charged particle in electromagnetic fields
9.2 Electrons in a uniform magnetic field
9.3 Atoms in magnetic field and Zeeman effect
9.4 Electrons spin
9.5 Spin-orbit coupling and the Fine Structure of Atomic Spectra
9.6 第09章测试题

Identical Particles and Pauli Exclusive Principle

10.1 Indistinguishability of Identical Particles; Two-particle systems
10.2 N-particle Systems
10.3 Interacting Systems, Hund’s Rule

Chapter 1 The discovery of quantum theory

11.1 Blackbody radiation and plank’s hypothesis
11.2 Photoelectric effect and Einstein’s hypothesis
11.3 The atomic spectra and Bohr’s model
11.4 Wave-particle duality of physical particles
11.5 第01章习题解答
11.6 第01章测试题

Chapter 2 Wavefunction and schrodinger equation

12.1 The de Broglie hypothesis and Davisson-Germer experiment
12.2 Schrodinger equation
12.3 Stationary solutions
12.4 General properties of motion in one dimension
12.5 Bound states in potential well
12.6 The harmonic oscillator
12.7 Tunnelling effect
12.8 第02章习题解答
12.9 第02章测试题

Chapter 3 Operators and Heisenberg uncertainty relation

13.1 Observables and operators
13.2 Hermitian operators and their properties
13.3 some example operators
13.4 Evaluation of the expectation values
13.5 The Heisenberg uncertainty relation
13.6 The time evolution of expectation values
13.7 第03章习题解答

Chapter 4 Motion in a centrally symmetric field

14.1 Three dimensional harmonic oscillators
14.2 The feature of motion in a centrally symmetric field
14.3 Spherical vaves and plane waves
14.4 Motion in a coulomb field
14.5 Hydrogen-like energy levels
14.6 Hydrogen atom and Hydrogen-like ions
14.7 第04章习题讲解
14.8 第04章测试题

Chapter 5 States and Heisenberg equation

15.1 Matrix representation of operators
15.2 States and their representations
15.3 The Heisenberg equation
15.4 Algebraic approach for harmonic oscillator
15.5 Algebraic approach for angular momentum
15.6 第05章习题讲解
15.7 第05章测试题

Bound state perturbation and Corrections to energy levels

16.1 Nondegenerate perturbation theory
16.2 Degerate perturbation theory
16.3 Stark effect
16.4 第06章测试题

Time-Dependent Perturbation and Quantum Transitions

17.1 Perturbation Depending on Time; Two-level system
17.2 General consideration and sudden perturbation

Scattering Theory for Elastic Collisions

18.1 Formulation of scattering problem
18.2 Born approximation
18.3 Partial wave expansion
18.4 Lab frame and center of mass frame

Motion in a magnetic field

19.1 Charged particle in electromagnetic fields
19.2 Electrons in a uniform magnetic field
19.3 Atoms in magnetic field and Zeeman effect
19.4 Electrons spin
19.5 Spin-orbit coupling and the Fine Structure of Atomic Spectra
19.6 第09章测试题

Identical Particles and Pauli Exclusive Principle

20.1 Indistinguishability of Identical Particles; Two-particle systems
20.2 N-particle Systems
20.3 Interacting Systems, Hund’s Rule

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