Instructor: Dr. Ted Jacobson
Room 4117, Phone 3014056020
jacobson@physics.umd.edu, http://www.glue.umd.edu/~tajac
Office hours: M 1011, W 23
Teaching Assistants:
HockSeng Goh ("Goh")
Room 4221, Phone 3014057279 hsgoh@glue.umd.edu,http://www.glue.umd.edu/~hsgoh Office hours: T 1011, Th12 
Douglas Armstead ("Doug")
Room 4211, Phone 3014056192 dna2@physics.umd.edu Office hours: W 45 
Course content: This is the first semester of a graduate
quantum mechanics course.
Textbook: There is no required textbook for the course, however
all students should have at least one standard graduate quantum text on
hand. A selection of recommended books is described below.
Reserve books: The books by Baym, CohenTannoudji et. al.,
Landau & Lifshitz, Sakurai, and Schwabl are (I hope) on reserve
at EPSL.
Web pages: Homework assignments and supplementary material at
www.glue.umd.edu/~tajac/622c/, homework grades and solutions at http://www.glue.umd.edu/~hsgoh/.
Email: I encourage students to make use of email for quick correspondence with me regarding lecture material, homework problems, or whatever. I will also use email to communicate with the class at large.
Homework: Assigned weekly and due the following week. Late homework accepted only under dire circumstances. If you know it will be impossible to turn in an assignment on time you must discuss this with me in advance of the due date. The homework is an essential part of the course. I believe most of what you learn will come from doing the homework. You are encouraged to discuss the homework with others, but what you finally hand in should be your own work. Sources (e.g. textbooks or classmates) should be cited when used heavily in a homework solution. Please make sure you include your name and the homework and course numbers and staple the pages together.
Exams: Two onehour midterms and a final. The final is Thursday, Dec. 16, 10:30am12:30pm.
Grading: REVISED: Based on homework
(30%), one midterm (30%), and final (40%),
with the best of these raised by 20% and the worst two
lowered by 20%.
(Revised since it turned out the homework could all be graded. For
the record, the old scheme
was: Based on homework (20%), two midterms (20% each), and final (40%),
with the best two
of these raised by 10% each and the worst two lowered by 10%
each .)
The lowest two homework scores will be dropped. I cannot say for sure
in advance, but I expect the letter grades to correspond to (roughly) (A)
10080%, (B) 8060%, (C) 6040%.
F. Schwabl, Quantum Mechanics
Concise, wellorganized, clear exposition.
C. CohenTannoudji, B. Diu and F. Laloe, Quantum Mechanics
Massive, strong on both fundamentals and applications, excellent for
selfstudy.
L.D. Landau and E.M. Lifschitz, Quantum Mechanics (Nonrelativistic
theory)
Practical and fundamental, with many applications and worked problems.
G. Baym, Lectures on Quantum Mechanics
Informal but sophisticated, very readable, with many applications.
J.J. Sakurai, Modern Quantum Mechanics
Written by a highenergy theorist, tilted toward the algebraic approach.
Nice choice of examples.
L.I. Schiff, Quantum Mechanics
A ``standard" oldfashioned graduate textbook. Contains a lot of material
and has a good table of contents.
E. Merzbacher, Quantum Mechanics
Another ``standard" graduate text, with the slant of a nuclear theorist.
Strong on scattering theory.
A third edition came out in 1997.
H.A. Bethe and R. Jackiw, Intermediate Quantum Mechanics
Atomic structure, interaction with radiation, and scattering theory,
beyond the usual introductory topics.
R. Shankar, Principles of Quantum Mechanics
Holds the student's hand, verbose, mostly elementary, but has
some very nice modern applications.
D.J. Griffiths, Introduction to Quantum Mechanics
A very well written modern undergraduate text, neatly organized
and lucid.
P.A.M. Dirac, Principles of Quantum Mechanics
An elegant classic.
R.P. Feynman, The Feynman Lectures on Physics, vol. III
A ``beginning undergraduate" text offering insights that keep professors
coming back.
A. Messiah, Quantum Mechanics
Strong on the formal and mathematical aspects of the theory.
J. Preskill, Lecture
Notes on Quantum Mechanics and Quantum Computation
Notes from a Cal. Tech. course. Includes a nice introduction to the
fundamentals of QM.
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions
Indispensable for special functions.
Gradshteyn and Ryzhik: Table of Integrals, Series, and Products
The best.
1. inner product spaces, operators, Dirac notation
2. projection operators, expectation values, structure of QM
3. commuting observables, uncertainty principle
4. combining quantum systems
5. nocloning, teleportation, nonlocality
6. Schrodinger equation
7. canonical quantization
8. position and momentum eigenstates, delta function
9. Heisenberg picture, Ehrenfest's theorem
10. harmonic oscillator, ladder operators, coherent states
11. one dimensional bound states
12. many particles, bosons & fermions
13. Fermi sea
14. Cooper pairs
15. symmetries & conservation laws
16. angular momentum, representation theory, spherical harmonics
17. central potentials
18. Hydrogen atom
19. particle in electromagnetic field, gauge invariance
20. Landau levels
21. AharonovBohm effect, flux quantization, monopoles
22. magnetic moments, Zeeman effect
23. spin1/2
24. NMR
25. addition of angular momenta, hyperfine interaction, spinorbit
coupling
Calendar (with topics covered,
minutes, supplements, & homework)
Class minutes are linked to week numbers in the
calendar.
Week  Monday  Wednesday  Friday  HW & Suppts. 
1. 8/30  superposition,
spin1/2 example, qubits & other state spaces 
vector spaces,
linear operators, inner product, Dirac notation, resolution of identity 
hw1  
2. 9/6  no class, Labor Day  matrix notation,
projection operators, probability interp. 
"collapse" of the state,
expectation values, spectral rep. of observables, time evolution, composite systems 
hw2
EPR & GHZ I Teleportation 
3. 9/13  entangled states,
mixed vs. pure states, density matrices 
commuting observables  position eigenstates,
translation operator, momentum operator 
hw3 
4. 9/20  Schrodinger eqn. in position and momentum representations  computational tricks,
EPR&GHZ 
nonlocality,
teleportation, Ehrenfest's theorem 
hw4
EPR & GHZ II QM fact sheet 
5. 9/27  general uncertainty reln,
min. uncert. wavepackets 
Heisenberg picture  computation tips,
harmonic oscillator 
hw5 (due 10/11) 
6. 10/4  coherent states  osc. states pos'n rep.,
CUPS simulations 
Galilean invariance  ``Schrodinger
Cat"
atomic states 
7. 10/11  rotations & ang. mom.  reps. of rotations  spin1/2, precession,
SternGerlach expt. 
hw6 (due 10/18) 
8. 10/18  spin resonance  spin resonance,
MBMR, NMR, MRI 
central potentials  hw7
(due 10/25),
Rabi on MBMR 
9. 10/25  central potentials  Coulomb potential,
review 
MIDTERM EXAM  hw8
Lenz vector & Coulomb potential square well levels 
10. 11/1  2body >1body,
relative ang. mom., spin of proton 
identical particles  composites,
homonuclear mols., space&spin, Fermi gas 
hw9 
11. 11/8  Fermi sea,
Cooper pairs 
Cooper pairs  Cooper pairs,
charge in magnetic field 
hw10
Cooper pairs 
12. 11/15  magnetic field  magnetic moments

gauge invariance,
YangMills theory 
hw11
quantum cyclotron 
13. 11/22  gauge invariance,
AharonovBohm effect 
Zeeman effect,
magnetic monopoles 
no class, Thanksgiving  . 
14. 11/29  flux quantization,
relativistic effects 
spinorbit coupling,
Darwin term, perturbation theory 
fine structure,
ljm_j> states 
hw12 
15. 12/6  Lamb shift,
Zeeman effect 
Lamb shift expt.,
hyperfine interaction 
hyperfine splitting,
Zeeman/hyperfine, review 
. 
16. 12/13  review  Final Exam: Thurs. 12/16, 10:3012:30 