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Last updated 2015-Apr-15

Physics 524: Quantum Mechanics II, Spring 2015

Teaching

The course meets on MWF from 10-11am in Crow 205. Classes will start on Monday, January 12.


Instructor:
Willem Dickhoff
Office: Compton 371; Phone: 5-4169; Email: wimd@wuphys.wustl.edu
Office hours: Wednesday 3-4 & Thursday 1-2 and by appointment
TA: Kamal Pangeni
Office: Compton 375; Phone: 5-6244; Email: kamalpangeni@go.wustl.edu
Office hours: Thursday 12-1 and by appointment

Books

Course Textbook: Quantum Mechanics: Fundamentals (Springer; 2nd edition) (2004) by Gottfried and Yan, ISBN-13: 978-0387220239 (softcover)

Modern Quantum Mechanics (Addison-Wesley; 2nd edition) (2011)
by Sakurai and Napolitano, ISBN-13: 978-0805382914 (hardcover).

We will cover an appropriate fraction of the material in these books during the Spring Semester. You are expected to have a copy of one of these books available at all times. Gottfried is a challenging but in the long term most rewarding textbook that is by far the very best available. Sakurai is much more user friendly. Weinberg's recent book is certainly worth paying attention to as well.
Other useful books: Additional books that you should consult once in a while in the library are:
Weinberg
Messiah
Cohen-Tannoudji et al.
Merzbacher
Landau & Lifshitz
Baym
Dirac
Abers (used in previous years by other colleagues)
Griffiths (for review of undergraduate material)
Dickhoff and Van Neck (for many-fermion and many-boson material)
(all are on reserve in the physics library)

Course outline

The course is defined by the material discussed in the lectures and reviewed in the problem sets. A preliminary schedule is given below. It includes the covered material in the Gottfried book, the subject, date of class, and the homework schedule.

Lecture
Subject material meeting date Hwk
#1 Chapter 3.5 Addition of angular momenta 1/12/2015
#2
continued 1/14/2015
#3
Bell's inequality lite 1/16/2015 Problem Set 1

NO CLASS
1/19/2015
#4
Spin-correlation experiment; pp scattering 1/21/2015
PRL_Sakai
#5 Chapter 2.5(e) Symmetries: parity 1/23/2015 Homework due Set 1
Problem Set 2
#6
Parity and angular momentum 1/26/2015
#7
Is parity conserved? 1/28/2015
#8 Chapter 7.1 General issues preparing for time reversal 1/30/2015 Homework due Set 2
Problem Set 3
#9 Chapter 7.2 Time reversal 2/2/2015
#10
Time reversal and angular momentum 2/4/2015
#11

Kramer's degeneracy; CPT 2/6/2015 Homework due Set 3
Problem Set 4
#18
Solving the Schroedinger equation on the computer for spherical symmetric problems
2/9/2015 combined with Phys 584
Numerical Problem Set
#12 Chapter 7.4 Rotational symmetry 2/9/2015
#13
Euler angles 2/11/2015
#14 Chapter 7.5 Rotation matrices and spherical harmonics 2/13/2015 Homework due Set 4
Problem Set 5
#22
Solving the Schroedinger equation on the computer for spherical symmetric problems 2/16/2015 combined with Phys 584
#15 Chapter 7.6 Tensor operators & Wigner-Eckart theorem 2/16/2015
#16
Projection theorem & applications 2/18/2015
#17
Scattering theory; pose the problem 2/20/2015 Homework due Set 5
Problem Set 6
#18 no class
2/23/2015
#19
Scattering theory; wave packets 2/25/2015 Homework due Set 6
#20 REVIEW
2/27/2015

#21 MIDTERM 9-11 or 10-12 Compton 241 3/2/2015
#22 no class

3/4/2015
#23 no class

3/8/2013

SPRING BREAK
3/9-13/2013
#24
Chapter 8.1 Scattering theory; wave packets 3/16/2015 Numerical problem set due
#25 Chapter 8.2 Lippmann-Schwinger equation 3/18/2015
#26 Chapter 8.2
Propagator and asymptotics 3/20/2015
Problem Set 7
#27 Chapter 8.3 Approximations 3/23/2015
#28
Optical theorem & Born approximation 3/25/2015
#29
Partial waves & phase shifts 3/27/2015 Homework due Set 7
Numerical Problem Set
#30
Numerov method
Square well example
3/30/2015
#31 Chapter 8.6 Low-energy scattering and bound states 4/1/2015 Square Well figures
#32 Chapter 8.7 Scattering of identical particles 4/3/2015 Slides scattering
Homework progress?
Problem Set 8
#33 Ch. 11.1 (Ch.1 DVN) Identical particles 4/6/2015 IP1 slides
#34 Ch. 11.2 (Ch.2 DVN)
Ch.3 DVN
Second quantization
Fermions; Independent particle model
4/8/2015 IP2 slides
#35
Atoms 4/10/2015 IP3 slides
Homework due Set 8
Problem Set 9
#36
Nuclei, nuclear matter; isospin 4/13/2015
#37 Chapter 4.3-4 Minimal coupling, Examples 4/15/2015
#38 Chapter 10.1 Maxwell's equations, free fields 4/17/2015 HF_slides
Homework due
Set
9
EM1 slides
Problem Set 10
#39 Chapter 10.1 Photons; Photon emission 4/20/2015 ProjectHF
ProjectCS
#40 Chapter 10.1, 10.4 Lifetime 4/22/2015 EM2 slides
#41
Absorption cross section; Photoelectric effect; Planck 4/24/2015 Homework due Set 10
#23 Final class 10-11 Compton 241 4/29/2015 or earlier

Projects due date
5/1/2015 Numerical work due plus either ProjectHF or ProjectCS

Grading and format of the course

FORMAT OF COURSE:

COURSE GRADE:
Homework: Students are encouraged to form study groups and discuss the homework with each other, but each student must write his or her own solutions. You may be asked to discuss solution strategies of homework problems during class.

Course materials

Homework solutions

Course Evaluation

During the evaluation period you can supply your evaluation of the course at the course evaluation website.