Physics 221A
Quantum Mechanics
Fall 2005
University of California, Berkeley
- Instructor: Robert Littlejohn
- Office: 449 Birge
- Office Hours: Wed 1-2pm
- Telephone: 642-1229
- Email: physics221@wigner.berkeley.edu
TA: Andrea Pasqua, Office Hours Wed 4-5, 409 Birge pasqua@wigner.berkeley.edu
-
- Lecture: 50 Birge
- Time: MWF 12-1
- Discussion Section 1: Wed 6-7, 2
LeConte
- Discussion Section 2: cancelled
- Text: J. J. Sakurai, Modern Quantum Mechanics,
Revised Edition (Addison-Wesley, New York, 1994)
-
Organization and Logistics
The email address for this course is physics221@wigner.berkeley.edu.
If you wish to be included on the mailing list for course
announcements, homework notices, etc., send an email to this address
with your name. (You don't have 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.
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.
Weekly homework
assignments will be made available on this web site by Wednesday
afternoon of each week, and will be due at noon on Thursday 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, you are expected to write up your own
versions of the solutions, and to have your own understanding of those
solutions. In other words, it is not legal simply to copy someone
else's solution.
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.
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.
- Monday, August 29, 2005: See Notes 1.
- Wednesday, August 31, 2005: See Notes 1.
- Friday, September 2, 2005: See Notes 1,2.
- Monday, September 5, 2005: Labor Day Holiday.
- Wednesday, September 7, 2005: See Notes 2,3.
- Friday, September 9, 2005: See Notes 3.
- Monday, October 3, 2005: See Notes 8.
- Wednesday, October 5, 2005: See Notes 8.
- Friday, October 7, 2005: See Notes 8 and more notes.
- Week of October 17-21: See Notes 10 and 11.
- Monday, October 24, 2005: See Notes 11.
- Wednesday, October 26, 2005: See Notes 11, 12.
- Friday, October 28, 2005: See Notes 12, 13.
- Monday, October 31, 2005: See Notes 13, 14.
- Wednesday, November 2, 2005: See Notes 14, 15.
- Friday, November 4, 2005: See Notes 15.
- Monday, November 21, 2005: See Notes 17, 18.
- Wednesday, November 23, 2005: See Notes 18.
- Friday, November 25, 2005: Thanksgiving Holiday.
- Monday, November 28, 2005: See Notes 19.
- Wednesday, November 30, 2005: See Notes 20 and more notes..
- Friday, December 2, 2005: See Notes 21.
Homework assignments
will normally be made available on this web site by Wednesday of
each week, and will be due at noon on Thursday of the following week in
the 221A homework box in 251 LeConte (the reading room).
- Homework 1, due Saturday, September 10 at noon, in postscript or pdf
format.
- Homework 2, due Thursday, September 15 at noon, in postscript or pdf
format.
- Homework 3, due Thursday, September 22 at noon, in postscript or pdf
format.
- Homework 4, due Thursday, September 29 at noon, in postscript or pdf
format.
- Homework 5, due Thursday, October 6 at noon, in postscript or pdf
format.
- Homework 6, due Thursday, October 13 at noon, in postscript or pdf
format.
- Homework 7, due Thursday, October 20 at noon, in postscript or pdf
format.
- Homework 8, due Thursday, October 27 at noon, in postscript or pdf
format.
- Homework 9, due Thursday, November 3 at noon, in postscript or pdf
format.
- Homework 10, due Thursday, November 10 at noon, in postscript or pdf
format.
- Homework 11, due Thursday, November 17 at noon, in postscript or pdf
format.
- Homework 12, due Monday, November 28 at noon, in postscript or pdf
format.
- Homework 13, due Thursday, December 1 at noon, in postscript or pdf
format.
- Homework 14, due Thursday, December 8 at noon, in postscript or pdf
format.
- Homework 15, due Thursday, January 19 at noon, 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.
- Notes 3: The Density
Operator, in ps or
pdf format.
- Notes 4: Spatial Degrees of
Freedom, in ps or
pdf format.
- Notes 5: The WKB Method,
in ps or pdf
format.
- Notes 6: Bloch's Theorem and
Band Structure in One Dimension, in
ps or
pdf format.
- Notes 7: Harmonic Oscillators
and Coherent States, in ps or
pdf format.
- Notes 8: The Propagator and the
Feynman Path Integral, in ps or
pdf format (complete).
- Notes 9: Rotations in Ordinary
Space, in ps or
pdf format.
- Notes 10: Rotations in Quantum
Mechanics, and Rotations of Spin 1/2 Systems, in
ps or
pdf format.
- Notes 11: Representations of
Angular Momentum Operators and Rotations, in
ps or
pdf format.
- Notes 12: Orbital Angular
Momentum and Spherical Harmonics, in
ps or
pdf format.
- Notes 13: Spins in Magnetic
Fields, in ps or
pdf format.
- Notes 14: Coupling of Angular
Momenta, in ps or
pdf format.
- Notes 15: Irreducible Tensor
Operators and the Wigner-Eckart Theorem, in ps or pdf format.
- Notes 16: Time Reversal,
in ps or pdf format.
- Notes 17: Bound-State
Perturbation Theory, in ps or pdf format.
- Notes 18: The Stark Effect in
Hydrogen and Alkali Atoms, in ps
or pdf format.
- Notes 19: Fine Structure in
Hydrogen and Alkali Atoms, in ps
or pdf format.
- Notes 20: Zeeman Effect in
Hydrogen and Alkali Atoms, in ps
or pdf format.
- Notes 21: Hyperfine Structure in
Hydrogen, in ps
or pdf format.
- Notes 22: Helium and Helium-Like
Atoms, in ps
or pdf format.
Homework Solutions.