Quantum
Mechanics I
Physics
731Fall 2013
MWF 8:50 AM
2120 Chamberlin Hall
Prof. Lisa Everett
5215 CH, 2624699
leverett@wisc.edu
Lectures: 8:509:40 AM MWF
Location: 2120 Chamberlin Hall
Office Hours: By appointment (ask
before/after class or send email).
Lecture Notes (Link)
Homework Assignments (Link)
ClebschGordan Table
(Link)
Problem sets will be due
approximately 1 week after they are assigned. Further details
will be given at the homework link
above.
Exams: There will be two inclass
(50 minute) midterm exams, and one twohour cumulative
final exam.
All exams will be closed notes, closed book. No
calculators, etc. are allowed. The
exam
dates are
 Midterm 1: 10/11/13,
8:50  9:40 AM. Topics: the material covered in
HW13. This includes the mathematical background, postulates of
quantum mechanics, measurement theory, x and p space, change of basis,
spin 1/2 systems, solvable 1d bound state problems (infinite square
well, finite well, harmonic oscillator, delta function potential), and
time evolution up to but not including the evaluation of the propagator
in position space. This corresponds to lecture notes 13, and the
first page or two of lecture notes 4.
 Midterm 2: 11/15/13,
8:50  9:40 AM. Topics: the material covered in
HW 3, 4, and 6. This includes time evolution, Schrodinger picture
and Heisenberg picture, 1d scattering problems, rotations, Euler
angles, angular
momentum operators and their eigenstates, Wigner functions, orbital
angular momentum, and spherical harmonics. There will be no
problems on WKB or path integrals on this exam. This material
corresponds to lecture notes 4, the first page of lecture notes 5, and
the first four pages of lecture notes 6 (up to but not including
rotational invariance). You will be given a ClebschGordan table
(the same one available in the link above), which has the spherical
harmonics and the Wigner functions.
 Final Exam:
12/18/13, 10:05 AM  12:05 PM, 2241 Chamberlin Hall.
Topics: all topics covered on HW 18 (except path integrals) as well as
the mathematical prelude. This includes Lecture Notes 14 (all),
Lecture Notes 5 (Heisenberg picture, WKB), Lecture Notes 67 (all), and
Lecture Notes 8 (density operator, symmetries, parity, multipole
expansion). You will be given a ClebschGordan table
(the same one available in the link above), which has the spherical
harmonics and the Wigner functions. You will be given SHO
wavefunctions (if needed) and any nontrivial integrals (if
needed). Please ask Prof. Everett if you have any questions
regarding the topics covered.
Be sure to inform
Prof.
Everett well in advance if you have any conflicts with the scheduled
exam dates.
Grading Policy: The final grades will
be determined as follows: 25% homework, 40% midterms (20% each), and
35% final.
Text: The main texts are
 J. J. Sakurai, Modern
Quantum Mechanics, Revised Ed., AddisonWesley Press
(1994). Note: there is a newer (2nd) edition with
coauthor J. Napolitano. These will be labeled as S1r and S2, in what should be
selfexplanatory notation. Feel free to use either
edition.
 R. Shankar, Principles of Quantum Mechanics,
2nd Ed., Springer (1994). This text is not required, but is
a highly recommended resource text.
Material Covered:
It depends on how quickly we progress, but most likely we will cover
Sakurai Chapters 14, and start Chapter 5 (if time
permits). We will cover path integral quantization and the
WKB
method in more detail than
Sakurai's presentation.
Supplemental Texts:
Particularly recommended (but not required)
texts are
 K. Gottfried, Quantum
Mechanics, Vol 1: Fundamentals, Benjamin (1966).
 L. Schiff, Quantum
Mechanics, McGrawHill (1968).
 L. D. Landau and E. M. Lifschitz, Quantum
Mechanics, Pergamon Press (1959).
 E. Merzbacher, Quantum Mechanics, 3rd Ed.,
Wiley (1997).
An incomplete list of other useful texts is
 G. Baym, Lectures on Quantum Mechanics,
Westview Press (1974).
 C. CohenTannoudji et
al., Quantum Mechanics, Wiley (2006).
 R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals,
McGrawHill (1965).
 A. Messiah, Quantum Mechanics, Dover (1999).
More mathematical references that are useful
include
 F. Byron and R. Fuller, Mathematics of Classical
and Quantum Physics, Dover (1992). First published in
two volumes by AddisonWesley in 1969.
 P. Dennery and A. Krzywicki, Mathematics for
Physicists, Dover (1996). First published by Harper
& Row in 1967.
 P. Morse and H. Fesbach, Methods of Theoretical
Physics, McGrawHill (1953). Now published by Feshbach publishing.
General Rules for Class:
 Show up
 Pay attention
 Be respectful
 Work hard
If you need to miss class because of religious or
personal reasons, please let Prof. Everett know ahead of time, unless
an
emergency makes that impossible.
The UWMadison physics department strives to provide an inclusive
climate in which every student feels welcome, thrives, and learns,
independent of gender identity, sexual orientation, race, ethnicity,
national origin, income, etc. Should you ever experience or
witness discrimination, please contact our department's diversity
liason and ombudsperson, Ms. Renee Lefow (renee@physics.wisc.edu,
2629678).
