课程大纲
COURSE SYLLABUS
1.
课程代码/名称
Course Code/Title
PHY5011/物理学中的群论 Group Theory for Physicists
2.
课程性质
Compulsory/Elective
专业必修课 Degree Required Course
3.
课程学分/学时
Course Credit/Hours
4/64
4.
授课语言
Teaching Language
中文 Chinese
5.
授课教师
Instructor(s)
刘奇航 Qihang Liu
6.
是否面向本科生开放
Open to undergraduates
or not
YES
7.
先修要求
Pre-requisites
(如面向本科生开放,请注明区分内容。
If the course is open to
undergraduates, please indicate the difference.
线性代数 I Linear Algebra
量子力学
I PHY206-15 Introduction to Quantum Mechanics
8.
教学目标
Course Objectives
(如面向本科生开放,请注明区分内容。
If the course is open to undergraduates, please indicate the
difference.
完成本课程学习,要求掌握群的基本概念及表示理论,了解群表示论在量子力学中的应用,以及点
群,空间群在固体物理中的应用。
Upon completing the course, the students are supposed to be familiar with:
1) the group representation theory.
2) the application of group representation theory to quantum mechanics. 3) the application of point group and
space group to solid state physics.
9.
教学方法
Teaching Methods
(如面向本科生开放,请注明区分内容。
If the course is open to undergraduates, please indicate the
difference.
本课程是理论课,主要以课堂授课为主。
This is a theoretical course, mainly in class.
10.
教学内容
Course Contents
(如面向本科生开放,请注明区分内容。 If the course is open to undergraduates, please indicate the
difference.
Section 1
1.
群的基本概念
Basic concepts of group theory
Section 2
2.
群的表示理论
Representation theory
Section 3
3.
完全转动群
Rotational group
Section 4
4.
点群与空间群
Point group and space group
Section 5
5.
群论与量子力学
Group theory and quantum mechanics
11.
课程考核
Course Assessment
1 考核形式 Form of examination
2 .分数构成 grading policy
3 如面向本科生开放,请注明区分内容。
If the course is open to undergraduates, please indicate the difference.
平时作业 20% + 期中考试(闭卷笔试)30%+ 期末考试(闭卷笔试)50%
Homework(20%) + Mid-term Exam(30%) + Final Exam(50%)
12.
教材及其它参考资料
Textbook and Supplementary Readings
教材(
Textbook
):
《群论及其在凝聚态物理中的应用》,李新征著,北京大学出版社。
参考资料(Supplementary Readings):
1.Group Theory: Applications to the Physics of Condensed Matter, by M. S. Dresselhaus, G. Dresselhau
s and
A. Jorio. Springer.
2.《物理学中的群论》第二版,马中骐著,科学出版社。
3.
《群论及其在固体物理中的应用》第二版,徐婉棠,喀兴林著,高等教育出版社