麻省理工学院讲义展示
《Quantum Physics II》讲义
名称：
Quantum Physics II 量子物理学 II.
本课程的学科门类：
理学
本讲义的出处：
麻省理工学院开放课程
本讲义的特点：
麻省理工学院为世界知名大学，本课程为量子物理学 3 门课系列中的一部分。其框架包
括阅读作业和习题集。课程内容覆盖了现代物理学中的量子物理学应用。量子力学的一般概
念：态，算符，狄拉克符号，表象，测量理论。谐振子：算符代数，态。三维空间中的量子
力学：中心势场和径向方程，跃迁和散射状态，波函数的定性分析。角动量：算符，代数转
换，本征值和本征函数，球谐函数。自旋：斯特恩-革拉赫装置和测量，核磁共振，自旋和
统计。角动量的耦合：C-G 系列和系数，自旋系统和氢元素的同素异形体。
讲义来源于：
http://www.core.org.cn/OcwWeb/Physics/8-05Fall-2004/CourseHome/index.htm
讲义的中文翻译网址：
http://www.core.org.cn/OcwWeb/Physics/8-05Quantum-Physics-IIFall2002/CourseHome/index.ht
m
本讲义的编写规范：
第一部分：课程简介：包括课程描述，技术需要，授课人员，课时安排，针对学生
第二部分：课程大纲：包括课程内容，需要背景，成绩评定，问题
第三部分：课程进度表
第四部分：课程阅读材料
第五部分：作业
第六部分：相关资源
对本学科门类讲义编写的建议：
根据具体课程的特点，结合国际相关课程的实际情况进行编写。
Quantum Physics II
Course Highlights
This course features a list of readings, a complete set of assignments, and references to related
resources.
Course Description
Together, this course and 8.06: Quantum Physics III cover quantum physics with applications
drawn from modern physics. Topics covered in this course include the general formalism of
quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular
momentum, spin, and addition of angular momentum.
Technical Requirements
Microsoft® Powerpoint® software is recommended for viewing the .ppt files found on this course
site. Free Microsoft® Powerpoint® viewer software can also be used to view the .ppt files.
Staff
Instructor:
Prof. Iain Stewart
Course Meeting Times
Lectures:
Two sessions / week
1.5 hours / session
Recitations:
Two sessions / week
1 hour / session
Level
Undergraduate
Syllabus
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offers direct links to Amazon.com to purchase the books cited in this course. Click on the
Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT
OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT
to continue offering open access to MIT courses.
Topics Covered







General Structure of Quantum Mechanics
Quantum Dynamics
Two-state Systems
Angular Momentum and Spin
The Radial Equation and Operator Methods
Addition of Angular Momentum
Introduction to the Quantum Mechanics of Identical Particles
Topics covered, in detail (PDF)
Texts
Griffiths, David J. Introduction to Quantum Mechanics. 2nd ed. Upper Saddle River, NJ:
Pearson Prentice Hall, 2004. ISBN: 9780131118928.
(Required; useful for both 8.05 and 8.06.)
Ohanian, Hans. Principles of Quantum Mechanics. Upper Saddle River, NJ: Prentice Hall, 1989.
ISBN: 9780137127955.
(Recommended, complementary to Griffiths; more emphasis on operator methods but less depth
on some other topics.)
Shankar, Ramamurti. Principles of Quantum Mechanics. 2nd ed. New York, NY: Plenum Press,
1994. ISBN: 9780306447907.
(Chapter 1 is particularly useful for the first part of 8.05, copies will be provided; rest of the book
is recommended.)
Feynman, R. P. Feynman Lectures On Physics. Vol. 3. Reading, MA: Addison Wesley Longman,
1970. ISBN: 9780201021158.
(A useful supplement for much of 8.05. Chapter 9 on the ammonia maser is particularly useful and
will be provided.)
Cohen-Tannoudji, Claude. Quantum Mechanics. 2 vols. New York, NY: Wiley, 1977. ISBN:
9780471164326.
(Some students find Cohen-Tannoudji useful for both 8.05 and 8.06; other students find it too
encyclopedic.)
Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley Pub., 1994. ISBN:
9780201539295.
(Good treatment of the two-state system - copies of this section will be provided - but this text is
somewhat more advanced than 8.05 in other respects.)
Gasiorowicz, Stephen. Quantum Physics. 3rd ed. Hoboken, NJ: Wiley, 2003. ISBN:
9780471057000.
(Familiar from 8.04.)
Prerequisites and Review Material
You must complete Quantum Mechanics I (8.04) with a grade of C or better before taking 8.05.
Familiarity with Linear Algebra (18.06) will be very helpful. If you are rusty and would like to
review material covered in 8.04, you should read Chapters 1-2 of Griffiths. If you want instead to
review from a source that is more familiar from 8.04, reread Chapters 3, 4, 5, 7 of Liboff or
Chapters 2-5 of Gasiorowicz.
Grading and Exams
Grades will be determined by a weighted average of problem sets, a midterm, and a final exam as
shown in the table below:
Grading Table
Activities
PERCENTAGES
Problem Sets 35%
Midterm
25%
Final Exam 40%
The faculty may alter grades to react class participation, improvement, effort and other qualitative
measures of performance.
Problem Sets
Problem sets are a very important part of 8.05. We believe that sitting down yourself and trying to
reason your way through a problem not only helps you learn the material deeply, but also develops
analytical tools fundamental to a successful career in science. We recognize that students also
learn a great deal from talking to and working with each other. We therefore encourage each 8.05
student to make his/her own attempt on every problem and then, having done so, to discuss the
problems with one another and collaborate on understanding them more fully. The solutions you
submit must reflect your own work. They must not be transcriptions or reproductions of other
people's work.
Calendar
Course Calendar
LEC
#
tOPICS
RELATED ASSIGNMENTS
1-7
General Structure of Quantum Mechanics
Assignments 1, 2,
7-9
Quantum Dynamics
Assignments 4,
5
10-14 Two-state Systems
Assignments 6, 7,
14-16 Angular Momentum and Spin
Assignments 8,
17-20 The Radial Equation and Operator Methods
Assignments 10,
20-22 Addition of Angular Momentum
Assignment 12
23-24
Introduction to the Quantum Mechanics of
Identical Particles
3
8
9
11
Assignment 13
(optional)
Readings
Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare
offers direct links to Amazon.com to purchase the books cited in this course. Click on the
Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT
OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT
to continue offering open access to MIT courses.
Texts
Griffiths, David J. Introduction to Quantum Mechanics. 2nd ed. Upper Saddle River, NJ:
Pearson Prentice Hall, 2004. ISBN: 9780131118928.
Ohanian, Hans. Principles of Quantum Mechanics. Upper Saddle River, NJ: Prentice Hall, 1989.
ISBN: 9780137127955.
Shankar, Ramamurti. Principles of Quantum Mechanics. 2nd ed. New York, NY: Plenum Press,
1994. ISBN: 9780306447907.
Feynman, R. P. Feynman Lectures On Physics. Vol. 3. Reading, MA: Addison Wesley Longman,
1970. ISBN: 9780201021158.
Cohen-Tannoudji, Claude. Quantum Mechanics. 2 vols. New York, NY: Wiley, 1977. ISBN:
9780471164326.
Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley Pub., 1994. ISBN:
9780201539295.
The following table lists the reading assignments for each of the seven topics covered in this
course. For more detailed information on these reading assigments, please see the individual
assignments in the assignments section.
Course Readings
LEC #
TOPICS
READINGS
Griffiths, chapter 3 and Appendix
Ohanian, chapter 4
1-7
General Structure of Quantum Mechanics
Shankar, chapter 1
Cohen-Tannoudji, parts of chapters II, III,
IV, and V
Sakurai, chapter 1
Ohanian, chapter 5
7-9
Quantum Dynamics
Cohen-Tannoudji, parts of chapters III, IV,
and V
Sakurai, sections 2.1-2.4
Feynman, chapter 9
Cohen-Tannoudji, chapter 4
10-14 Two-state Systems
Sakurai, section 2.10
Ohanian, section 9.2
Griffiths, chapter 4
14-16 Angular Momentum and Spin
Ohanian, chapter 7
Cohen-Tannoudji, chapters VI, VII, and
IX
17-20 The Radial Equation and Operator Methods
Ohanian, chapters 6 and 8
Course Readings
LEC #
TOPICS
READINGS
Griffiths, chapter 4
20-22 Addition of Angular Momentum
Ohanian, section 9.3
Cohen-Tannoudji, chapter X
23-24
Introduction to the Quantum Mechanics of
Identical Particles
Griffiths, sections 5.1, 5.2, 6.3, and 6.4
Cohen-Tannoudji, chapter XIV
Assignments
Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare
offers direct links to Amazon.com to purchase the books cited in this course. Click on the
Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT
OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT
to continue offering open access to MIT courses.
Problem sets are a very important part of this course. We believe that sitting down yourself and
trying to reason your way through a problem not only helps you learn the material deeply, but also
develops analytical tools fundamental to a successful career in science.
The related readings from the textbooks shown in the table will help understand the assignments.
Texts
Griffiths, David J. Introduction to Quantum Mechanics. 2nd ed. Upper Saddle River, NJ:
Pearson Prentice Hall, 2004. ISBN: 9780131118928.
Ohanian, Hans. Principles of Quantum Mechanics. Upper Saddle River, NJ: Prentice Hall, 1989.
ISBN: 9780137127955.
Shankar, Ramamurti. Principles of Quantum Mechanics. 2nd ed. New York, NY: Plenum Press,
1994. ISBN: 9780306447907.
Feynman, R. P. Feynman Lectures On Physics. Vol. 3. Reading, MA: Addison Wesley Longman,
1970. ISBN: 9780201021158.
Cohen-Tannoudji, Claude. Quantum Mechanics. 2 vols. New York, NY: Wiley, 1977. ISBN:
9780471164326.
Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley Pub., 1994. ISBN:
9780201539295.
Gasiorowicz, Stephen. Quantum Physics. 3rd ed. Hoboken, NJ: Wiley, 2003. ISBN:
9780471057000.
Assignments files.
assignments
RELATED rEadingS
Griffiths, chapters 1 and 2, Appendix
Assignment 1 (PDF) Shankar, chapter 1
Sakurai, chapter 1
Griffiths, chapter 3, Appendix
Shankar, chapters 1 and 4
Assignment 2 (PDF) Sakurai, chapter 1
Ohanian, chapter 4
Cohen-Tannoudji, chapters II and III
Griffiths, section 2.3.1, chapter 3
Ohanian, chapter 4
Assignment 3 (PDF)
Shankar, chapter 4
Cohen-Tannoudji, chapters II and III
Cohen-Tannoudji, Complement GIII
Assignment 4 (PDF) Ohanian, chapter 5
Cohen-Tannoudji III D, or Sakurai, sections 2.1 and 2.2
Assignment 5 (PDF)
Cohen-Tannoudji, sections IV.A.1., IV.A.2., IV.B, IV.C, Complement CIV
and FIV
Cohen-Tannoudji, Complement FIV
Assignment 6 (PDF)
Feynman, Vol. III, section 8.6 and chapter 9
Assignment 7 (PDF) Feynman, Vol. III, section 8.6 and chapter 9
Assignment 8 (PDF) Griffiths, sections 4.1.1 and 4.3
Assignments files.
assignments
RELATED rEadingS
Griffiths, sections 4.1, 4.2, and 4.3
Ohanian, chapter 7
Assignment 9 (PDF) Shankar, section 12.5
Cohen-Tannoudji, chapter VI, pp. 643-676
Gasiorowicz, chapter 7
Griffiths, sections 4.1, 4.2, and 4.3
Assignment
(PDF)
10
Shankar, pp. 339-345
Ohanian, chapter 6, section 6.2, and chapter 8
Assignment
(PDF)
11
Ohanian, chapter 6, section 6.2, and chapter 8
Griffiths, sections 4.4 and 4.4.3
Griffiths, sections 4.4.3 and 5.1
Assignment
(PDF)
12
Ohanian, sections 9.3 and 9.4
Shankar, chapter 10, sections 15.1 and 15.2
Cohen-Tannoudji, Vol. II, chapters X and XIV
Griffiths, section 5.1
Assignment
(PDF)
13
Ohanian, section 9.4
Shankar, chapter 10
Cohen-Tannoudji, chapter XIV
Related Resources
Microsoft® Powerpoint® software is recommended for viewing the .ppt files in this section. Free
Microsoft® Powerpoint® viewer software can also be used to view the .ppt files.
Some Topics have a related experiment in the class 8.13-8.14: Experimental Physics I & II "Junior
Lab," which is usually taken concurrently with Quantum Mechanics II.
Related Resources
LEC
#
tOPICS
1-7
General Structure of Quantum
Mechanics
7-9
Quantum Dynamics
RELATED EXPERIMENTS
Pulsed Nuclear Magnetic
Resonance
10-14 Two-state Systems
Quantum Information
Processing with NMR
14-16 Angular Momentum and Spin
17-20
The Radial Equation and Operator Optical Emission Spectra of
Methods
Hydrogenic Atoms
20-22 Addition of Angular Momentum
23-24
Introduction to the Quantum
Superconductivity
Mechanics of Identical Particles