Information for Winter 2010

last update 01/31/2010 

PH 652 Quantum Mechanics II

Instructor: Prof. Yun-Shik Lee, leeys@physics.oregonstate.edu
Office: Weniger 415, available Tu noon-1pm, F 10-11am or by appointment
Text: Sakurai, Modern Quantum Mechanics, Addison-Wesley, 1994.
Supplementary: Cohen-Tannoudji, Quantum Mecahnics
Also recommended: Griffiths, Introduction to Quantum Mechanics and Gasiorowicz, Quantum Physics
Class Meetings: MWF 9:00-9:50, Weniger 304

COURSE SYNOPSIS

Basic principles of nonrelativistic quantum theory and applications. Schroedinger theory, quantum theory of angular momentum, matrix mechanics, perturbation theory, identical particles, scattering.
PREREQS: PH 435/PH 535 and PH 451/PH 551 or equivalents.

EVALUATION OF STUDENT PERFORMANCE

Students' achievements will be evaluated based on four required activities:

1. Homework (25%) will be assigned nearly every week. Collaboration on homework exercises is encouraged provided proper attribution is given, but each student must write an independent presentation of the solution. Solutions to all assigned problems will be posted on the Web one week after they are assigned. To receive credit, work must be submitted before the solution is posted.

2. Class Participation (10%)

3. Midterm Examination (25%)

4. Final Examination (40%):


COURSE SCHEDULE

Week

Topic

Reading List

Pop Quiz Homework

1-3

5. Particles in Spherically Symmetric Potentials

Separation of variables and spherical harmonics

Angular momentum in quantum mechanics

Ladder operators and algebraic method

Matrix formulation of orbital angular momentum

Rotation of diatomic molecules

Three dimensional potential well

Hydrogen atom

Sakurai – Ch. 3, Section 1, 5, and 6

Cohen-Tannoudji – Ch.VI

Cohen-Tannoudji – Ch.VII

PQ#1

PQ#2

PQ#3

PQ#4

PQ#5

PQ#6

HW #1

HW #2

HW #3

4

6. Spin Angular Momentum

Experimental evidence for electron spin

Theoretical foundation

Properties of Pauli spin matrices

Spin precession

Electron parametric resonance

Sakurai – Ch. 3, Section 2

Cohen-Tannoudji – Ch.IX

PQ#7

PQ#8

PQ#9

HW #4

5-6

7. Addition of Angular Momenta

Two spin-1/2 particles

General case

Spin-orbit interaction and total angular momentum

Addition of orbital angular momentum and spin 1/2

Vector operators: the Wigner-Eckart theorem

Spin correlation measurements and Bell's inequality

Sakurai – Ch.3, Section 7, 8, 9, an10

Cohen-Tannoudji – Ch.X

PQ#10

PQ#11

PQ#12

PQ#13 

HW #5

7-9

8. Stationary Perturbation Theory

Nondegenerate bound state perturbation theory

Degenerate Perturbation theory

Variation method

Sakurai – Ch. 5, Section 1, 2, 3, and 4

Cohen-Tannoudji – Ch.XI

Cohen-Tannoudji – Ch.XII

   

 

10

9. Time-Dependent Perturbation Theory

Approximation solution of the Schrodinger equation

Harmonic perturbation

Fermi golden rule

Einstein A and B coefficients

Adiabatic and sudden approximation

Sakurai – Ch.5, Section 5 and 6

Cohen-Tannoudji – Ch.XIII

   

STUDENTS WITH DISABILITIES: Students with documented disabilities who may need special accommodations in the lecture, lab, or examinations should make an appointment with the instructor no later than the first week of classes to discuss those accommodations.


If you have comments or suggestions, email Prof. Lee at leeys@physics.oregonstate.edu
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