Physics 221A
Quantum Mechanics
Fall 2007
University of California, Berkeley
- Instructor: Robert Littlejohn
- Office: 449 Birge
- Office Hours: Th 12-1
- Telephone: 642-1229
- Email: physics221@wigner.berkeley.edu
TA: Ruza Markov, Office Hours Th 2-3, Room 475 Birge (grad student lounge) ruza@wigner.berkeley.edu
-
- Lecture: 3108 Etcheverry
- Time: TuTh 8-9:30
- Discussion Section 1: cancelled
- Discussion Section 2: W 3-4, 3 Evans
- Text: J. J. Sakurai, Modern Quantum Mechanics,
Revised Edition (Addison-Wesley, New York, 1994)
-
- Final Exam: Monday, December 17, 12:30-3:30pm
- Location: 3 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 Tuesday, Aug 28, 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 the Tuesday discussion section, 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.
I will be out of town the week of September 17-21. I will either
have a substitute lecturer that week, 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 approximately 50% homework and 50% final exam. The final
exam will either be in-class or a take-home; I haven't decided which
yet, but I will let you know by the middle of the semester. In the
meantime, please keep the in-class exam time open (plan to be in
Berkeley).
Weekly homework
assignments will be made available on this web site by Friday
morning of each week, and will be due at 5pm on Thursday 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 extra 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. One of
the major themes of the first semester will be symmetry.
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. I go to a lot of
trouble to prepare these lecture notes, and they are for your benefit.
It was not my intention in doing this to make it easy for you to skip
class, but in view of the hour I won't be surprised if that happens.
There is probably nothing I can do about it, but your presence does
contribute to the educational experience for everyone and it will be
better if you can attend the lectures. It will also be better if you
ask questions occasionally. Do not be afraid to interrupt the
lecture.
- Tuesday, August 28, 2007: See Notes 1.
- Thursday, August 30, 2007: See Notes 1,2.
- Tuesday, September 4, 2007: See Notes 2,3.
- Thursday, September 6, 2007: See Notes 3,4.
- Tuesday, September 11, 2007: See Notes 4,5.
- Thursday, September 13, 2007: See Notes 5, with extra notes.
- Tuesday, September 19, 2007: See Notes 6.
- Thursday, September 20, 2007: See Notes 6, with extra notes.
- Tuesday, September 25, 2007: See Notes 7.
- Thursday, September 27, 2007: See Notes 7, with extra notes.
- Tuesday, October 16, 2007: See Notes 9,10.
- Thursday, October 18, 2007: See Notes 10,11.
- Tuesday, October 23, 2007: See Notes 11,12.
- Thursday, October 25, 2007: See Notes 12,13.
- Tuesday, November 6, 2007: See Notes 15,16.
- Thursday, November 8, 2007: See Notes 16.
- Tuesday, November 20, 2007: See Notes 18,19.
- Thursday, November 22, 2007: Thanksgiving holiday.
- Tuesday, November 27, 2007: See Notes 19,20.
- Thursday, November 29, 2007: See Notes 20,21.
- Tuesday, December 4, 2007: See Notes 22.
- Thursday, December 6, 2007: See Notes 23, with extra notes.
Homework
assignments
will normally be made available on this web site by Friday of
each week, and will be due at 5pm on Thursday of the following week in
the 221A homework box in 251 LeConte (the reading room).
- Homework 1, due Thursday, September 6 at 5pm, in postscript or pdf
format.
- Homework 2, due Thursday, September 13 at 5pm, in postscript or pdf
format.
- Homework 3, due Thursday, September 20 at 5pm, in postscript or pdf
format.
- Homework 4, due Friday, September 28 at 5pm, in postscript or pdf
format.
- Homework 5, due Friday, October 5 at 5pm, in postscript or pdf
format.
- Homework 6, due Friday, October 12 at 5pm, in postscript or pdf
format.
- Homework 7, due Friday, October 19 at 5pm, in postscript or pdf
format.
- Homework 8, due Friday, October 26 at 5pm, in postscript or pdf
format.
- Homework 9, due Friday, November 2 at 5pm, in postscript or pdf
format.
- Homework 10, due Friday, November 9 at 5pm, in postscript or pdf
format.
- Homework 11, due Friday, November 16 at 5pm, in postscript or pdf
format.
- Homework 12, due Monday, November 26 at 5pm, in postscript or pdf
format.
- Homework 13, due Friday, November 30 at 5pm, in postscript or pdf
format.
- Homework 14, due Monday, 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.
- Notes 2: The Postulates of
Quantum Mechanics, in ps or
pdf format (complete).
- Notes 3: The Density
Operator, in ps or
pdf format.
- Notes 4: Spatial Degrees of
Freedom, in ps or
pdf format (complete).
- Notes 5: Time Evolution in
Quantum Mechanics, in ps or
pdf format.
- Notes 6: The WKB Method,
in ps or
pdf format.
- Notes 7: Harmonic Oscillators
and Coherent States,
in ps or
pdf format.
- Notes 8: The Propagator and
the Path Integral, in ps or
pdf format (complete).
- Notes 9: Rotations in Ordinary
Space, in ps or
pdf format (complete).
- Notes 10: Rotations in Quantum
Mechanics, and Rotations of Spin 1/2 Systems, in
ps or
pdf format.
- Notes 11: Representations of
the Angular Momentum Operators and Rotations, in
ps or
pdf format.
- Notes 12: Spins in Magnetic
Fields, in ps or
pdf format (complete).
- Notes 13: Orbital Angular
Momentum and Spherical Harmonics, in ps or pdf format (complete).
- Notes 14: Central Force
Motion, in ps or pdf format.
- Notes 15: Coupling of Angular
Momenta, in ps or pdf format.
- Notes 16: Irreducible Tensor
Operators and the Wigner-Eckart Theorem, in ps or pdf
format.
- Notes 17: Parity, in ps or pdf
format.
- Notes 18: Time Reversal, in ps or pdf
format (complete).
- Notes 19: Bound-State Perturbation
Theory, in ps or pdf format.
- Notes 20: The Stark Effect in Hydrogen
and Alkali Atoms, in ps or pdf format.
- Notes 21: Fine Structure in Hydrogen
and Alkali Atoms, in ps or pdf format.
- Notes 22: The Zeeman Effect in Hydrogen
and Alkali Atoms, in ps or pdf format.
- Notes 23: Hyperfine Structure in
Hydrogen, in ps or pdf format.
- Appendix A: Gaussian, SI and
Other Systems of Units in Electromagnetic Theory, in ps or pdf format.
Homework Solutions.
Reprints.
- I can do that for you! in
pdf format only.
Extra Notes.
- Notes on Variational Principles
in Classical Mechanics in ps or
pdf format.
- Table of Clebsch-Gordan
Coefficients, etc in pdf
format only.
- Notes on Thomas Precession,
in ps or pdf format.