Physics 732 Spring 2014 Home Page

Physics 732: Quantum Mechanics II

MWF 8:50 AM, 2223 Chamberlin Hall
Prof. Lisa Everett.  Contact info: 5215 CH, 262-4699,

Lectures: 8:50-9:40 AM MWF
Location:  2223 Chamberlin Hall
Office Hours: By appointment (ask before/after class or send email). 

Lecture Notes:

Lecture Notes 1  (updated 1/29/14)

Lecture Notes 2  (updated 2/12/14) 

Lecture Notes 3  (updated 2/24/14)

Lecture Notes 4  (updated 3/11/14)

Lecture Notes 5  (updated 4/24/14)

Homework Assignments: The assignments will be due approximately one week after they are assigned.  Please see the HW policies for further logistical details.

HW Policies

HW 1   Due Wednesday, February 5, 5 PM.      (Solutions)

HW 2   Due Wednesday, February 19, 5 PM.    (Solutions)

HW 3   Due Wednesday, February 26, 5 PM.    (Solutions)

HW 4   Due Thursday, March 6, 5 PM, in Prof. Everett's mailbox.    (Solutions)

HW 5   Due Friday, March 28, 5 PM.                (Solutions) (typos fixed 4/22/14)

HW 6   Due Friday, April 4, 5 PM.                    (Solutions)

HW 7   Due Wednesday, April 16, 5 PM.           (Solutions) (typos fixed 4/22/14)

HW 8   Due Monday, May 5, 5 PM.                  (Solutions)

Clebsch-Gordan Table

Exams: There will be two in-class (50 minute) midterm exams, and one two-hour cumulative final exam.   All exams will be closed notes, closed book.   No calculators, etc. are allowed.  The exam dates and topics are
    * Midterm 1: 3/12/14, 8:50 -- 9:40 AM.  Topics: approximation methods (variational method, time-independent non-degenerate perturbation theory, time-independent degenerate perturbation theory, sudden approximation, adiabatic approximation, time-dependent perturbation theory, Fermi's Golden Rule) as covered in Lecture Notes 2-3 and HW 2-4. #3 solution
    * Midterm 2: 4/23/14, 8:50 -- 9:40 AM. Topics: identical particles, potential scattering (up to but not including the eikonal approximation) as covered in Lecture Notes 4-5 and HW 5-7.
    * Final Exam: 5/13/14, 10:05 AM -- 12:05 PM, Van Vleck B239.  This will be cumulative (HW 1-8, Lecture Notes 1-5, and the background material necessary for these topics that was covered in Physics 731.  Please note that relativistic QM will not be on the final exam.)

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.

Texts: The main texts are
    * J. J. Sakurai,  Modern Quantum Mechanics, Revised Ed., Addison-Wesley Press (1994).  Note: there is a newer (2nd) edition with co-author J. Napolitano.  These will be labeled as S1r and S2, in what should be self-explanatory 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: This course is a continuation of Physics 731 as taught in Fall 2013 (click on the following links for the full set of Physics 731 lecture notes and homework/solutions).  We will cover the rest of Sakurai (Chapters 4-7), which includes symmetries, approximation methods, identical particles, and scattering. We will cover multielectron atoms in slightly more detail than Sakurai's text.  The remaining time of the course will consist of an introduction to relativistic quantum mechanics.

Supplemental Texts:
Particularly recommended (but not required) texts are

    * K. Gottfried, Quantum Mechanics, Vol 1: Fundamentals,  Benjamin (1966).
    * L. Schiff, Quantum Mechanics, McGraw-Hill (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. Cohen-Tannoudji et al., Quantum Mechanics, Wiley (2006).
    * R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill (1965).
    * A. Messiah, Quantum Mechanics, Dover (1999).

A recommended introduction to atomic physics is

    * M. Morrison, T. Estle, and N. Lane, Quantum States of Atoms, Molecules, and Solids,   Prentice-Hall (1976).

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 Addison-Wesley 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, McGraw-Hill (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, it is recommended (but not required) that you let Prof. Everett know ahead of time, unless an emergency makes that impossible.  

The UW-Madison 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 Lefkow (, 262-9678).


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