Quantum Mechanics

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

**Time & Place:** Tue & Thu 9:00-10:20AM, 416 PHYSICS

**Office Hours:** Wed 3-4 PM, 433 Physics or just find
me
when
I am
not too busy with
other things

**Website:** http://www.physics.ucdavis.edu/~cheng/teaching/215AB-f10

Homework assignments and
additional information can be found from the smartsite course
page.

The class mailing
list is
phy215b-w11@smartsite.ucdavis.edu and the messages sent to it will be
archived in 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: Kevin Cleary (kfcleary@ucdavis.edu), office hour: Wed 4-5 PM in 114 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 one of these
books is
not required but recommended.

**Grading:** Homework 40%, Midterm (on Thu. Feb. 10 in class)
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 |

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