Physics 137A.002 course page

Spring 2007
Department of Physics
University of California, Berkeley

News as of 5/12:
Joel Moore's reviews: Thursday 5/10 and Friday 5/11 (past).
Joel Corbo's review: Sunday 5/13 10-noon, 385 LeConte.
Extra GSI office hours Monday 1-3 in 325 LeConte.
Notes by Joel C. on product of Hilbert spaces and ang. mom. addition..
Final description and chapter 5 examples here.
Last year's final.
Solutions by Joel C. here.
Final exam: 8 am Tuesday May 15, 103 GPB (Genetic and Plant Biology).

Lectures: TuTh 9:30-11:00, 241 CORY (note new location)
Discussions: 4-5 p.m. Tu (395 LeConte) or 1-2 p.m. Th (425 Latimer)
Instructor: Prof. Joel Moore, jemoore@berkeley.edu
Instructor office hour: Tu 1:30-2:30, 549 Birge Hall
GSI: Joel Corbo, jcorbo@berkeley.edu
GSI office hours: Th 3-5, 395 LeConte
Course info handout/syllabus, including assignment 1

Current announcements:
Please attend a discussion section even if you have not officially enrolled in one.
1/16/07: Schrodinger equation and interpretation of wavefunction.
1/18/07: Probability conservation and current. Definition of momentum. Operator concept.
1/23/07: Time-independent Schrodinger equation and stationary states.
1/25/07: Infinite square well.
1/30/07: Harmonic oscillator (algebraic method).
2/1/07: Harmonic oscillator (power series method).
2/6/07: Delta-function potential. Bound and scattering states.
2/8/07: Transmission and reflection probabilities in delta-function. Intro to finite square well.
2/13/07: Formal def. of QM: Hilbert space and Hermitian operators.
2/15/07: Measurement postulate.
2/20/07: Intro to uncertainty relation.
2/22/07: Midterm 1.
2/27/07: Finish uncertainty relation.
Some notes on the uncertainty relation
3/1/07: Energy-time uncertainty relation.
3/6/07: Dirac notation and two-state example.
3/13/07: Finish Dirac notation. 3D Schrodinger equation.
3/15/07: Hydrogen atom: orbitals and energy levels.
3/20/07: Theory of angular momentum.
3/22/07: Explicit matrices for angular momentum of 3-state multiplet (l=1). Stern-Gerlach.
(spring break)
4/3/07: Dipole coupling to magnetic fields. Spin-1/2 and Pauli matrices.
4/5/07: Midterm 2 (see below).
4/10/07: Gauge invariance of Schrodinger equation with E&M. Product of Hilbert spaces.

4/12/07: Addition of s=1/2: singlet and triplet.
4/17/07: Addition of angular momentum. Symmetries in quantum mechanics.
4/19/07: More examples of symmetries: rotations. Bloch's theorem for discrete translational invariance (Griffiths 5.3).
4/24/07: Multiple identical particles: statistics postulate.
4/26/07: Pauli exclusion and atomic structure. Slater determinants for multiple fermions.
5/1/07: Exchange forces. Molecular physics in Born-Oppenheimer approx.
5/3/07: The ground state of the Fermi gas. Fermi energy. (Optional) Application to astrophysics.
5/8/07: (not on final) Bose gas and superfluidity. Quantum mechanics at finite temperature.

Midterms: 2 (80 minutes, closed book, 2 sides of notes allowed, no calculators.)
Midterm I: in class 2/22/07
2007 midterm I, midterm I solutions
Midterm II: in class 4/5/07
2007 midterm II
midterm II solutions
There will be a final exam. Further information is available at the course info link above.

Books (will be on course reserve in Physics/Astronomy Library)
Quantum Mechanics, D. J. Griffiths (required)
Quantum Mechanics, 2nd ed., Bransden and Joachain
Assignments:
Solutions are posted Wednesday after the Friday when the assignment is due.
Assignment 1, due 1/26/07: Chapter 1, problems 1, 2, 3, 5, 9, 11, 12, 14a
Solutions for assignment 1
Assignment 2, due 2/2/07: Chapter 2, problems 2, 5, 7, 8
Solutions for assignment 2
Assignment 3, due 2/9/07: Chapter 2, problems 16, 19, 22, 40, 41
Solutions for assignment 3
Assignment 4, due 2/16/07: Chapter 2, problems 26, 27, 29, 44
Solutions for assignment 4
(note skipped week for midterm)
Assignment 5, due 3/2/07: Appendix, problems A1, A2, A11, A18, A25
Solutions for assignment 5
Assignment 6, due 3/9/07: Chapter 3, problems 1, 3, 5, 6
Solutions for assignment 6
Assignment 7, due 3/16/06: Chapter 3, problems 11, 13, 16, 17, 35
Solutions for assignment 7
Assignment 8, due 3/23/06: Chapter 3, problems 21, 22, 33, 34, 39
Solutions for assignment 8
Assignment 9, due 4/13/07: Chapter 4, problems 3, 5, 7, 10, 11
Solutions for assignment 9
Assignment 10, 4/20/07: Chapter 4, problems 13, 17, 19, 20, 45
Solutions for assignment 10
Assignment 11, 4/27/07: Chapter 4, problems 22, 24, 27, 29, 30
Solutions for assignment 11
Assignment 12, 5/4/07: Chapter 4, problems 33, 35, 49, 50, 56
Solutions for assignment 12
Some QM resources available online:
Dirac notation
Instructor contact information

Joel Moore, Assistant Professor
Department of Physics
Office: 549 Birge Hall
Mail: 366 Le Conte #7300
Berkeley, CA 94720-7300
(510)642-8313
jemoore AT berkeley.edu