Physics 221A
Quantum Mechanics
Fall 2011
University of California, Berkeley
- Instructor: Robert Littlejohn
- Office: 449 Birge
- Office Hours: Friday 1-2
- Telephone: 642-1229
- Email: physics221@wigner.berkeley.edu
TA: Austin Hedeman, Office Hours 1-2 Thu, Room 443 Birge austin@wigner.berkeley.edu
-
- Lecture: 3 Evans (first day), 247 Cory
(thereafter)
- Time: MWF 9-10
- Discussion Section 1: Thu 2-3, 102 Wurster
- Discussion Section 2: cancelled
- Recommended text: J. J. Sakurai, Modern Quantum Mechanics,
Revised Edition (Addison-Wesley, New York, 1994)
-
- Final Exam: Thursday, December 15, 7-10pm
- Location:  247 Cory
Organization and Logistics
The email address for this course is physics221@wigner.berkeley.edu.
Use this to send me emails if you have any questions etc. Also, I
maintain an email mailing list for the course, and use it to send out
announcements, corrections to homework assignments, etc back to you.
If you received an email from me on Thursday, Aug 25, then you are on
the email mailing list and do not need to do anything. If you did not
receive an email from me, then send an email to the course email
address (above) and ask to be added to the mailing list (you do not
need to be enrolled). If you drop the course or don't want to receive
any more announcements, send an email to this address with a request
to be dropped.
The course web
site (this site) will be used to post lecture notes, special
notes, homework assignments, and homework solutions.
There will be no discussion section during the first week. I will
probably cancel discussion section 1, and rely on the
Wednesday section plus office hours to cover your needs. I will
schedule my office hour and, if necessary, the discussion section so
the maximum number of students can attend at least one.
Prerequisites for
this course include graduate standing and a full year of undergraduate
quantum mechanics. Students who do not have this background are
required to get instructor's approval before enrolling. In particular,
this applies to all undergraduates wishing to take the course.
The grade will be
based on homework and a final exam. Please keep the exam time open
(please plan to be in Berkeley at that time).
Weekly homework
assignments will be made available on this web site (usually)
by Saturday of each week, and will be due at 5pm on Friday
afternoon of the following week. Homework should be turned in in the
221A homework box in 251 LeConte (the reading room).
I'm betting at this point that it will be possible to move the
discussion section to Thursday, so I'm making the first homework due
on Friday (one day after the discussion section).
Late homeworks will
be accepted up to one week late at 50% credit. Homeworks more than one
week late will not be accepted. Please do not ask the reader to take
late homeworks. Exception: Each student is allowed one free late
homework (up to one week late) during the semester, no questions
asked.
Students are encouraged to
work together on homework, and to trade ideas. There is no
better way to learn. However, it is expected that the work you turn in
is your own work in your own words. It is not legal just to copy
someone else's solutions. It is also strictly illegal to look at or use solutions from
any previous version of this course from earlier years. You can't
find those solutions anyway without going to some trouble.
The text for the course, Modern
Quantum Mechanics, by J. J. Sakurai, was chosen because of its
good selection of topics, because of the generally deep perspective it
takes in developing the subject, and because of his good physical
perspective. Unfortunately, the explanations in the book are often
poor and sometimes wrong; this seems to be due to the fact that
Sakurai died before he could put his book into order. (His other book,
Advanced Quantum Mechanics,
which we will use in Physics 221B, is much better.) To make up for
these deficiencies, most weeks there will be lecture notes made
available which will supplement the readings from the text.
The content of Physics 221A is mostly a review of undergraduate
quantum mechanics, presented from a deeper point of view and with a
different emphasis. Some new topics are also presented. Physics 221B
presents much new material, including an introduction to field theory
and relativistic quantum mechanics. The course will have an emphasis
on atomic physics that gradually turns into particle physics.
Movies for some
of the lectures are available due to the efforts of Eric Corsini.
Lecture notes
will be available in one of two forms. For some lectures I have
typed-up notes. For those lectures without typed notes, I will usually
try to supply hand-written notes, although I don't guarantee how
closely they will follow the actual lectures. Nevertheless, it should
be possible to get by without taking notes in class. Do not be afraid
to interrupt the lecture to ask questions.
- Friday, August 26, 2011: Notes 1, pp. 1-13.
- Monday, August 29, 2011: Notes 1, pp. 13-26.
- Wednesday, August 31, 2011: Notes 1, pp. 26-31, Notes 2,
pp. 1-4.
- Friday, September 2, 2011: Notes 2, pp. 4-14.
- Monday, September 5, 2011: Labor day holiday.
- Wednesday, September 7, 2011: Notes 3, pp. 1-17.
- Friday, September 9, 2011: Notes 3, p. 18, Notes 4,
pp. 1-8.
- Monday, September 12, 2011: Notes 4, pp. 8-20, Notes 5,
pp. 1-4.
- Wednesday, September 14, 2011: Notes 5, pp. 4-17.
- Friday, September 16, 2011: Notes 5, pp. 17-20, Notes 6,
pp. 1-4, Notes 8, pp. 1-5.
- Monday, September 19, 2011: Notes 8, pp. 5-13.
- Wednesday, September 21, 2011: Notes 8, pp. 13-17,
Notes 9, pp. 1-5.
- Friday, September 23, 2011: Notes 10, pp. 12-15, Notes 11,
pp. 1-6.
- Monday, September 26, 2011: Notes 11, pp. 6-16 (skip
Sec. 14).
- Wednesday, September 28, 2011 (first lecture): Notes 12,
pp. 1-10.
- Wednesday, September 28, 2011 (second lecture): Notes 12,
pp. 10-16 (skip Sec. 12), Notes 13, pp. 1-5.
- Friday, September 30, 2011: Notes 13, pp. 5-13.
- Monday, October 3, 2011: Notes 13, pp. 13-15, Notes 14,
pp. 1-5.
- Wednesday, October 5, 2011: Notes 14, pp. 11-17.
- Friday, October 7, 2011: Notes 14, pp. 17-18, Notes 15,
pp. 1-10.
- Monday, October 10, 2011: Notes 15, pp. 10-12, Notes 16,
pp. 1-7.
- Wednesday, October 12, 2011: No lecture.
- Friday, October 14, 2011: No lecture
- Monday, October 24, 2011: Notes 17, pp. 10-12, Notes 18,
pp. 1-6.
- Wednesday, October 26, 2011: Notes 18, pp. 6-17.
- Friday, October 28, 2011: Notes 18, pp. 17-25, Notes 19,
pp. 1-4.
- Monday, October 31, 2011: Notes 19, pp. 4-11, Notes 20,
pp. 1-6.
- Wednesday, November 2, 2011: Notes 20, pp. 6-17.
- Friday, November 4, 2011: Notes 20, pp. 17-19, Notes 21,
pp. 1-8.
- Monday, November 7, 2011: Notes 22, pp. 1-12.
- Wednesday, November 9, 2011: Notes 22, pp. 12-15,
Notes 23, pp. 1-6.
- Monday, November 14, 2011: Notes 23, pp. 6-15, Notes
24, pp. 1-2.
- Wednesday, November 16, 2011: Notes 24, pp. 2-8.
- Friday, November 18, 2011: Notes 24, pp. 9-10, Notes 26,
Notes 27, pp. 1-5.
- Monday, November 21, 2011: Notes 27, pp. 5-13.
- Tuesday, November 22, 2011: Notes 28, pp. 1-8.
- Wednesday, November 23, 2011: Notes 28, pp. 8-16.
- Monday, November 28, 2011: Notes 28, pp. 16-18, Handwritten notes,
pp. 1-8.
- Wednesday, November 30, 2011: Rest of handwritten notes,
Notes 25, pp. 1-7.
- Friday, December 2, 2011: Notes 25, pp. 7-11.
Homework
assignments
will normally be made available on this web site by Friday or Saturday of
each week, and will be due at 5pm on Friday of the following week in
the 221A homework box in 251 LeConte (the reading room).
- Homework 1, due Friday, September 2 at 5pm, in postscript or pdf
format.
- Homework 2, due Friday, September 9 at 5pm, in postscript or pdf
format.
- Homework 3, due Friday, September 16 at 5pm, in postscript or pdf
format.
- Homework 4, due Friday, September 23 at 5pm, in postscript or pdf
format.
- Homework 5, due Friday, September 30 at 5pm, in postscript or pdf
format.
- Homework 6, due Friday, October 7 at 5pm, in postscript or pdf
format.
- Homework 7, due Friday, October 14 at 5pm, in postscript or pdf
format.
- Homework 8, due Friday, October 21 at 5pm, in postscript or pdf
format.
- Homework 9, due Friday, October 28 at 5pm, in postscript or pdf
format.
- Homework 10, due Friday, November 4 at 5pm, in postscript or pdf
format.
- Homework 11, due Monday, November 14 at 5pm, in postscript or pdf
format.
- Homework 12, due Friday, November 18 at 5pm, in postscript or pdf
format.
- Homework 13, due Monday, November 28 at 5pm, in postscript or pdf
format.
- Homework 14, due Monday, December 5 at 5pm, in postscript or pdf
format.
- Homework 15, due Monday, December 12 at 5pm, in postscript or pdf
format.
Typed lecture
notes are available for some lectures, not others.
- Notes 1: The Mathematical
Formalism of Quantum Mechanics, in
ps or
pdf
format (complete).
- Notes 2: The Postulates of
Quantum Mechanics, in ps or
pdf format (complete).
- Notes 3: The Density
Operator, in ps or
pdf format (complete).
- Notes 4: Spatial Degrees of
Freedom, in ps or
pdf format (complete).
- Notes 5: Time Evolution in
Quantum Mechanics, in ps or
pdf format (complete).
- Notes 6: Topics in
One-Dimensional Wave Mechanics, in ps or
pdf format (complete).
- Notes 7: The WKB Method,
in ps or
pdf format (complete).
- Notes 8: Harmonic Oscillators
and Coherent States,
in ps or
pdf format (complete).
- Notes 9: The Propagator and
the Path Integral, in ps or
pdf format (complete).
- Notes 10: Charged Particles in
Magnetic Fields, in ps or
pdf format (complete).
- Notes 11: Rotations in Ordinary
Space, in ps or
pdf format (complete).
- Notes 12: Rotations in Quantum
Mechanics, and Rotations of Spin 1/2 Systems, in
ps or
pdf format (complete).
- Notes 13: Representations of
the Angular Momentum Operators and Rotations, in
ps or
pdf format (complete).
- Notes 14: Spins in Magnetic
Fields, in ps or
pdf format (complete).
- Notes 15: Orbital Angular
Momentum and Spherical Harmonics, in ps or pdf format (complete).
- Notes 16: Central Force
Motion, in ps or pdf format (complete).
- Notes 17: Coupling of Angular
Momenta, in ps or pdf format (complete).
- Notes 18: Irreducible Tensor
Operators and the Wigner-Eckart Theorem, in ps or pdf
format (complete).
- Notes 19: Parity, in ps or pdf
format (complete).
- Notes 20: Time Reversal, in ps or pdf
format (complete).
- Notes 21: Bound-State Perturbation
Theory, in ps or pdf format (complete).
- Notes 22: The Stark Effect in Hydrogen
and Alkali Atoms, in ps or pdf format (complete).
- Notes 23: Fine Structure in Hydrogen
and Alkali Atoms, in ps or pdf format (complete).
- Notes 24: The Zeeman Effect in Hydrogen
and Alkali Atoms, in ps or pdf format (complete).
- Notes 25: Hyperfine Structure in
Atoms, in ps or pdf format (complete).
- Notes 26: The Variational
Method, in ps or pdf format (complete).
- Notes 27: Identical Particles,
in ps or pdf format (complete).
- Notes 28: Helium and Helium-like
Atoms, in ps or pdf format (incomplete).
- Appendix A: Gaussian, SI and
Other Systems of Units in Electromagnetic Theory, in ps or pdf format.
- Appendix B: Classical
Mechanics, in ps or pdf format.
- Appendix C: Gaussian
Integrals, in ps or pdf format.
- Appendix D: Vector Calculus
, in ps or pdf format.
Homework Solutions for Fall 2011.
Reprints.
- Table of Clebsch-Gordan
Coefficients, etc in pdf
format only.
- Final exam from Fall
1996, in ps and pdf formats.
Extra Notes.