PHY215AB (Fall 09 and Winter 10)
Quantum Mechanics

Instructor: Hsin-Chia Cheng (cheng [at] physics.ucdavis.edu)

Time & Place: Mon & Wed 8:30-9:50AM, 416 PHYSICS

Office Hours: Tue 11:00AM-12:00noon, 433 Phy/Geo or just find me when I am not too busy with other things

Website: http://www.physics.ucdavis.edu/~cheng/teaching/215AB-f09
Homework assignments and additional information can be found from the smartsite course page.
The class mailing list is phy215b-w10@smartsite.ucdavis.edu and the messages sent to it will be archived in the smartsite.

Homework: Homework assignments can be found on the smartsite.
There will be homework assignments every week (except for the week of Midterm which is scheduled on Feb. 10). Doing the problem sets is an extremely important part of learning. You can't learn the subject by just listening to the lectures without working through things by yourself. They also contain some of the important topics that we won't be able to cover in class. Many homework problems will be challenging. They are not the type of plugging numbers into equations but require a lot of thinking. In this way you can have better understandings of the subject. You are encouraged to discuss the problem sets with your classmates, TA and me, but you are not allowed to copy other people's homework. Each of you is required to write up your own homework following your own understandings. Each problem set is due about one week after its assignment in class (usually on Wed). The solutions will be given out immediately after the class on the due day and hence no late homework can be accepted. (So even if you couldn't finish you should turn in what you have done.)

TA: Haiying Cai (hcai@ucdavis.edu), office hour:  5-6 PM, 440 Physics

Textbook: The recommended books are "Modern Quantum Mechanics," by J. J. Sakurai, Revised Edition, and  "Principles of Quantum Mechanics," by R. Shankar, 2nd Edition. They are widely used as textbooks for graduate level quantum mechanics course nowadays. We will not follow exactly the order of these books but the emphasis will be similar. Owning these books is not required but recommended.

Grading: Homework 40%, Midterm (Feb. 10) 20%, Final 40%

Outlines of the course:

Topics
Approx. # of Lectures
Related Chapters in Sakurai
Related Chapters in Shankar
215A



Introduction, Mathematical Preliminaries
3
1.1-1.5
Ch1
The Rules of Quantum Mechanics
3
3.4, 3.9
4.1, 4.2
Time Development Operator, Hamiltonian, Fundations of Wave Mechanics
4
1.6, 1.7, 2.1, 2.4, 2.6, A.1
4.3, 5.1, Ch9
One Dimensional Problems
3
4.2, 2.3, A.2-A.4
Ch5, Ch7
Theory of Angular Momentum
5
3.1-3.3, 3.5-3.7, B
Ch12, Ch14, 15.1-15.2
215B



Wave Mechanics in Three Dimensions
3
A.5, A.6
Ch13
The Variational and WKB Methods
2
2.4, 5.4
Ch16
Time-independent Perturbation Theory
4
5.1-5.3
Ch17
Irreducible Spherical Tensors and the Wigner-Eckhart Theorem
2.5
3.10
Ch15.3
Time-dependent Perturbation Theory
2.5
5.6-5.8
Ch18
Scattering Theory
4
Ch7
Ch19

Other Information

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