Phys 356 -- Quantum Physics II                             Spring 2008

This page will be used for posting lecture notes, homework assignments and solutions to homework and exam problems.  All documents are in pdf format.

 Instructor:  Cass Sackett     email:  sackett@virginia.edu

Office Hours: Wednesday, 3-4 PM, and Thursday, 3-4 PM  in Physics 155

Course information:
    syllabus
    class presentations

Lecture Notes:
1: Adding spins 8:  Counting states II 15:  Spin-orbit coupling I 22:  Hydrogen atom 29:  Adiabatic approximation 36:  Born scattering
2: Adding any J's 9:  Statistical Mechanics 16:  Spin-orbit coupling II 23:  Time dependence 30:  Classical scattering 37:  Born validity
3: Multiparticle states 10:  Two-level system 17:  Zeeman: weak field 24:  Rotating wave approx 31:  Partial wave expansion 38:  Measurement, collapse
4: Exchange effects 11:  Perturbation theory 18:  Zeeman: arb field 25:  Time dependent PT 32:  Hard sphere example 39:  Entanglement
5:  Atoms and solids 12:  2nd order PT 19:  Hyperfine effect 26:  Atomic transitions 33:  Phase shifts 40: Quantum communication
6:  Band structure 13:  Degenerate PT 20:  Variational principle 27:  Spontaneous emission 34:  Born approximation
7:  Counting states I 14:  Relativistic correction 21:  Helium atom 28:  Selection rules 35:  Green's function


Supplemental Notes:
1/18 - Counting angular momentum states
1/25 - Symmetrizing non-orthogonal states
2/27 -  Honest calculation of <S.J>
4/7 - Spherical wave expansion of exp(ikz)
4/16 - Alternative Green's function

Practice with Taylor Expansions - answers

Homework:  (follow links for solutions)
First/Second edition problem correlation grid

Assignment 1, due Monday Jan 28:  Griffiths problems 4.35, 4.36, 5.2, 5.5, 5.33     Average: 44/50

 Assignment 2, due Friday Feb 1:  Griffiths problems 5.6, 5.11, 5.16, 5.35     Average: 34/40

 Assignment 3, due Friday Feb 8:  Griffiths problems 5.19, 5.20, 5.22, 5.24, 5.27    Average: 37/40

 Assignment 4, due Friday Feb 15:  Griffiths problems 5.28, 5.29, 5.37, C1 (text)    Average:  35/40

Assignment 5, due Friday Feb 22:  Griffiths problems 6.2*, 6.3, 6.5, 6.8, 6.31    Average:  46/50
                *Do problem 6.4(b) as part of problem 6.2.

 Assignment 6, due Friday Feb 29:  Griffiths problems 6.14, 6.18, 6.32, 6.33, 6.35  Average:  45/50

Assignment 7, due March 21:  Griffiths problems 6.23, 6.26, 6.28, 6.36   Average:  39/50
                (I recommend you do at least problems 6.23, and 6.36 before the exam on March 10)

 Assignment 8, due March 28:  Griffiths problems 7.1, 7.3, 7.9, 7.12, 9.3, 9.5     Average:  50/60
                See note
Assignment 9, due April 4:  Griffiths problems 9.6, 9.8, 9.14, 9.21     Average:  35/40
                For problem 9.21(b), use the method described by Griffiths pages 353-354 to average over the polarization n and wavevector k.

Assignment 10, due April 11: Griffiths problems 10.9, 10.10, 11.2     Average:  28/30
                For problem 10.9(a,b), just demonstrate that the answers given work.

Assignment 11, due April 18: Griffiths problems 11.4, 11.7, 11.19    Average:  29/30
                As noted in class, I would do 11.7 before 11.4, myself.
               
Assignment 12, due April 25: Griffiths problems 11.9, 11.13, 11.16, 11.17, 11.20       Average:  42/50
                Hints

 Exams:
     Midterm, solutions       Average:  27/40

Last years final, solutions