## Physics 137A.002 course pageSpring 2007Department 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 JoachainAssignments: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 |