**Room:**618, Van Allen Hall**Time:**9:30AM - 10:20PM**Days:**M,W,F**Text:**Quantum Mechanics - Messiah**Useful References:**

- Quantum Mechanics - Symbolism of Atomic Measurements - Schwinger

- Modern Quantum Mechanics: J. J. Sakauri and Jim Napolitano

- Quantum Mechanics - Merzbacher

- Quantum Mechanics: Fundamentals and Gottfried, Yan

- Quantum Theory of Many Particle Systems - Fetter and Walecka

- Quantum Mechanics - Blokhintsev

- Fundamentals of Quantum Mechanics - Fock

- Quantum Mechanics and Path Integrals - Feynman and Hibbs

- John S. Bell on the Foundations of Quantum Mechanics

- Mathematical Foundations of Quantum Mechanics - von Neumann

- Approaching Quantum Computing - Marinescu and Marinescu

- Advanced Quantum Mechanics - the classical-quantum connection - Blumel

**Instructor:**Wayne Polyzou**Office:**306 Van Allen Hall**Office Hours:**W,Th,F 10:20-11:30**E-mail:**polyzou@uiowa.edu**Phone:**335-1856**Grader:**Erik Gustafson**Grader office:**407 E (Van)**Grader Phone:**) 353-2795**Grader e-mail:**erik-j-gustafson@uiowa.edu

Possible final grades are A+,A,B,C,D,F. The grade of A+ is for
performance that is a full grade above an A. Grades are based on
homework scores (15%), two mid term exam scores (25%+25%), and the final exam
(35%). Homework assignments will be posted weekly on the web version
of this syllabus (http://homepage.physics.uiowa.edu/~polyzou/phys245/).
This will accessible on the class web page.

This is the first semester of a two semester course on quantum
mechanics. While I will not follow the text, Messiah is a good
reference with a reasonable price. This course is organized as
follows. The first goal of this course is to show how the results of
idealized experiments on simple systems lead to the general
mathematical structure of quantum theories. Second goal is to develop
the consequence of various symmetries of the quantum theory. These
discussions provide the essential background for understanding quantum
mechanics. Applications will be treated concurrently with the
development of the theory. The second semester will cover
computational and approximation methods, identical particles, many
particle quantum mechanics, scattering theory and relativistic
quantum theory. The topics for the first semester are summarized below:

- Quantum measurements
- Hilbert spaces, operators, superposition
- Complementarity
- Minimal and stationary uncertainty states
- Path integrals
- Symmetries in quantum mechanics - Wigner's theorem
- Galilean symmetry
- Discrete Symmetries
- Dynamics, quantization
- Two-state systems
- One-dimensional systems
- Three-dimensional systems (oscillators, Hydrogen like atoms)

- Week 1
- Monday, August 21
- Lecture 1

- Wednesday, August 23
- Lecture 2

- Friday, August 25
- Lecture 3
- Homework #1 due Friday, September 1

- Week 2
- Monday, August 28
- Lecture 4

- Wednesday, August 30
- Lecture 5

- Friday, September 1
- Lecture 6
- Homework #2 due Friday, September 8 - note corrections to problems 3 and 5 on Homework #2!

- Week 3
- Monday, September 4 - no class - labor day

- Wednesday, September 6
- Lecture 7

- Friday, September 8
- Lecture 8
- Homework #3 (note correction on last problem) due Friday, September 15

- Week 4
- Monday, September 11
- Lecture 9

- Wednesday, September 13
- Lecture 10

- Friday, September 15
- Lecture 11
- Homework #4, due Monday Sept 25

- Week 5
- Monday, September 18 - no class - out of town - class will be made up

- Wednesday, September 20 - no class - out of town - class will be made up

- Friday, September 22 - no class - out of town - class will be made up

- Week 6
- Monday, September 25
- Lecture 12

- Wednesday, September 27
- Lecture 13

- Friday, September 29
- Lecture 14 Homework #5, due Friday, Oct 13

- Week 7
- Monday, October 2
- Lecture 15
- Wednesday, October 4
- Lecture 16
- Exam review / 1-st make up class / 5:30 - 8:30 / 618 Van
- Sample exam

- Lecture 17
- Homework #5 due Friday, October 13

- Week 8
- Monday, October 9 - First Mid - Term Exam - Vitaily confirmed that the exam will start at 9:00 AM!
- Exam 1 solutions

- Wednesday, October 11
- Lecture 18

- Friday, October 13
- Lecture 19
- Homework #6 due Friday, October 20

- Week 9
- Monday, October 16
- Lecture 20

- Wednesday, October 18
- Lecture 21

- Friday, October 20
- Lecture 22
- Homework #7 due Friday, October 27

- Week 10
- Monday, October 23
- Lecture 23

- Wednesday, October 25
- Lecture 24

- Friday, October 27
- Lecture 25
- Note error at end of lecture 25 - int D(R) is 1 when j=0, zero otherwise. Derivation in notes as root c=1 and c=0 . I should not have ignored the 0 possibility.
- Homework #8 due Friday, November 3

- Week 11
- Monday, October 30
- Lecture 26
- Note error in lecture notes: Haar measure should be 1/(4*pi)^2 sin (theta) d psi d theta dphi

- Wednesday, November 1
- Lecture 27
- Note error in lecture notes: int D(R) D(R) was correct in Monday's notes -
in today's notes the summary formula should have delta_{ma,-mb}
delta_{ma' -mb'} - the correct formula follows from the cg coefficients.

- Friday, November 3
- Lecture 28
- Homework #9 due Wednesday, November 15 (note correction on problem 4)

- Week 12
- Monday, November 6
- Lecture 29

- Wednesday, November 8
- Lecture 30

Thursday, November 9 - Exam review / make up class / 5:30 - 618 Van - sample exam
- solutions

- Friday, November 10
- Lecture 31

- Week 13
- Monday, November 13 - second hour exam - starts at 9:00AM
- solutions

- Wednesday, November 15
- Lecture 32

- Friday, November 17
- Lecture 33
- correction - the expression for S on page 1 is incorrect - the one on page 5 of the notes is correct.
- Homework #10 due Friday, December 1

- Monday, November 20 - thanksgiving recess
- Wednesday, November 22 - thanksgiving recess
- Friday, November 24 - thanksgiving recess

- Week 14
- Monday, November 27
- Lecture 34

- Wednesday, November 29
- Lecture 35

- Friday, December 1
- Lecture 36

- Week 15
- Monday, December 4
- Lecture 37

- Wednesday, December 6 - last 15 minutes - evaluations
- Lecture 38

- Friday, December 8
- Lecture 39

- sample final (the last problem has material that we did not cover yet)
- final exam solutions
- Final Exam: Monday, December 11, 10:00AM-12:00 Noon, 618 Van

**Students with Disabilities**

Any student who has a disability which may require some modification of seating, testing, or other class requirements, should contact me so that appropriate arrangements may be made. Students with disabilities should also contact the Office of Student Disabilities Services (335-1462).

** Student Complaints:**

A student who has a complaint related to this course should follow the procedures summarized below.

Ordinarily, the student should attempt to resolve the matter with the instructor first. Students may talk first to someone other than the instructor (the departmental executive officer, or the University Ombudsperson) if they do not feel, for whatever reason, that they can directly approach the instructor.

If the complaint is not resolved to the student's satisfaction, the student should go to the departmental executive officer.

If the matter remains unresolved, the student may submit a written complaint to the associate dean for academic programs. The associate dean will attempt to resolve the complaint and, if necessary, may convene a special committee to recommend appropriate action.

For any complaint that cannot be resolved through the mechanisms
described above, please refer to the College's Student Academic
Handbook for further information.