Physics 221A
Quantum Mechanics
Fall 2010
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 Friday 2-3, Room 432 Birge austin@wigner.berkeley.edu
-
- Lecture: 325 LeConte
- Time: MWF 9-10
- Discussion Section 1: cancelled
- Discussion Section 2: Th 3-4, 4 Evans
- Recommended text: J. J. Sakurai, Modern Quantum Mechanics,
Revised Edition (Addison-Wesley, New York, 1994)
-
- Final Exam: Thursday, December 16, 7-10pm
- Location: 325 LeConte
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 26, 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
Thursday 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.
I will be out of town at least twice this semester. I will either
have a substitute lecturer those weeks, or else schedule makeups.
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 Friday or 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).
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 and because of the generally deep perspective
it takes in developing the subject. 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.
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.
Videos of some
lectures are becoming available thanks to the efforts of Daniel
Schuldman and Greg Bollonton. Initial tests by Daniel and Greg
indicate that the movies play well under Windows with Windows Media
Player and VLC. On the Mac, they are reported to play well under
Quicktime and VLC. Under Linux, I found that they played well with
Totem but not so well under VLC. Try it yourself, and let me know if
you have difficulties.
The video file for each lecture is approximately 350-400MB. They
are in .mp4 format. Streaming may not be possible, especially if
several people are trying to do it at the same time, due to the
limited bandwidth of the server. Time will tell how it all works, but
in the meantime it will probably be necessary to download the video
before viewing. Download times are unknown at this point, but
certainly depend on how many people are trying to download at once.
The videos for the entire semester should occupy about 12GB of disk
space. If you want to download the videos, please spread it out over
the whole semester, and don't wait to the last week.
I may get some flash drives and load the videos onto them. Then I
could loan them to anyone who wants to copy them to a home computer.
It would be much faster than downloading.
- Friday, August 27, 2010: Notes 1, pp. 1-13. See also the
video. On looking at
this video, I see that the web address I put on the board for
this web site was wrong. But there is no point in correcting
it, since you wouldn't be here if you had the wrong address.
`
- Monday, August 30, 2010: Notes 1, pp. 13-25. See also the
video.
- Wednesday, September 1, 2010: Notes 1, pp. 25-31,
Notes 2, pp. 1-7. See also the
video.
- Friday, September 3, 2010: Notes 2, pp. 7-14,
Notes 3, pp. 1-11. See also the
video.
- Tuesday, September 7, 2010: Notes 3, pp. 11-18, Notes 4,
pp. 1-4. See also the video.
- Wednesday, September 8, 2010: Notes 4, pp. 4-17. See also the
video.
- Friday, September 10, 2010: Notes 5, pp. 1-15. See also the video.
- Monday, September 13, 2010: Notes 5, pp. 15-19, Notes 6,
pp. 1-4, Notes 7, pp. 1-5. See also the video.
- Wednesday, September 15, 2010: Notes 7, pp. 5-16. See also the
video.
- Friday, September 17, 2010: Notes 7, pp. 16-25. See also the
video.
- Monday, September 20, 2010: Notes 7, pp. 25-26, extra notes, and Notes 8,
pp. 1-7. See also the video.
- Wednesday, September 22, 2010: Notes 8, pp. 7-15. See also the
video.
- Friday, September 24, 2010: No lecture.
- Monday, September 27, 2010: Notes 8, pp. 15-17, Notes 9,
pp. 1-8. See also the video.
- Wednesday, September 29, 2010: Notes 9, pp. 8-19. See also the
video.
- Friday, October 1, 2010: Notes 9, pp. 19-24. See also the
video.
- Monday, October 4, 2010: Notes 9, pp. 25-27, Notes 10,
pp. 1-6. See also the
video.
- Tuesday, October 5, 2010: Notes 10, pp. 6-10 and extra notes. See also the
video.
- Friday, October 7, 2010: No lecture.
- Monday, October 11, 2010: Notes 10, pp. 10-12, Notes 11,
pp. 1-5 and extra notes. See also the
video.
- Wednesday, October 13, 2010: Notes 11, pp. 6-15, Notes 12,
pp. 1-3. See also the
video.
- Friday, October 15, 2010: Notes 12, pp. 3-12. See also the
video.
- Monday, October 18, 2010: Notes 12, pp. 12-16; Notes 13,
pp. 1-9. See also the
video.
- Wednesday, October 20, 2010: Notes 13, pp. 9-13; Notes
14, pp. 1-4. See also the
video.
- Friday, October 22, 2010: Notes 14, pp. 4-14. See also the
video.
- Monday, October 25, 2010: Notes 14, pp. 14--18, Notes 15,
pp. 1--7. See also the
video.
- Wednesday, October 27, 2010: Notes 15, pp. 7--12, Notes 16,
pp. 1--6. See also the
video.
- Friday, October 29, 2010: Notes 16, pp. 7--13, and extra notes. See also the
video.
- Monday, November 1, 2010: extra notes on hydrogen.
See also the video.
- Wednesday, November 3, 2010: extra notes on coupling
spatial and spin degrees of freedom.. Also, Notes 17,
pp. 1-5, and Sec. 3 of Notes 23 on the spin-orbit term.
See also the video.
- Friday, November 5, 2010: Notes 17, pp. 5-12, Notes 18, p. 1.
See also the video.
- Monday, November 8, 2010: Notes 18, pp. 1-11. See also
the video.
- Wednesday, November 10, 2010: Notes 18, pp. 11-20. See
also the video.
- Friday, November 12, 2010: Notes 18, pp. 20-24, Notes 19,
pp. 1-5. See also the video
.
- Monday, November 15, 2010: Notes 19, pp. 5-11, Notes 20,
pp. 1-2. See also the
video.
- Wednesday, November 17, 2010: Notes 20, pp. 2-10. See
also the video.
- Friday, November 19, 2010: Notes 20, pp. 11-18. See
also the video.
- Monday, November 22, 2010: Notes 21, entire. See
also the video.
- Tuesday, November 23, 2010: Notes 22, pp. 1-12. See
also the video.
- Wednesday, November 24, 2010: Notes 22, pp. 13-14, Notes 23,
pp. 1-5. See also the video.
- Monday, November 29, 2010: Notes 23, pp. 5-12, Notes 24, pp. 1-3.
See also the video.
- Wednesday, December 1, 2010: Notes 24, pp. 3--8. See also the
video.
- Monday, December 6, 2010: No notes, lecture on deuteron. See
also the video.
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 3 at 5pm, in postscript or pdf
format.
- Homework 2, due Friday, September 10 at 5pm, in postscript or pdf
format.
- Homework 3, due Friday, September 17 at 5pm, in postscript or pdf
format.
- Homework 4, due Friday, September 24 at 5pm, in postscript or pdf
format.
- Homework 5, due Friday, October 1 at 5pm, in postscript or pdf
format.
- Homework 6, due Friday, October 8 at 5pm, in postscript or pdf
format.
- Homework 7, due Friday, October 15 at 5pm, in postscript or pdf
format.
- Homework 8, due Friday, October 22 at 5pm, in postscript or pdf
format.
- Homework 9, due Friday, October 29 at 5pm, in postscript or pdf
format.
- Homework 10, due Friday, November 5 at 5pm, in postscript or pdf
format.
- Homework 11, due Friday, November 12 at 5pm, in postscript or pdf
format.
- Homework 12, due Friday, November 19 at 5pm, in postscript or pdf
format.
- Homework 13, due Monday, November 29 at 5pm, in postscript or pdf
format.
- Homework 14, due Friday, December 3 at 5pm, in postscript or pdf
format.
- Homework 15, due Friday, December 10 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 (incomplete).
- Notes 21: Bound-State Perturbation
Theory, in ps or pdf format (incomplete).
- Notes 22: The Stark Effect in Hydrogen
and Alkali Atoms, in ps or pdf format (incomplete).
- Notes 23: Fine Structure in Hydrogen
and Alkali Atoms, in ps or pdf format (incomplete).
- Notes 24: The Zeeman Effect in Hydrogen
and Alkali Atoms, in ps or pdf format.
- 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 (incomplete).
Homework Solutions for Fall 2010.
Reprints.
- Feynman and Hibbs, Chapter 1 in
pdf format only.
- I can do that for you! in
pdf format only.
- Table of Clebsch-Gordan
Coefficients, etc in pdf
format only.
Extra Notes.