Physics 732 Spring 2019 Home Page

Quantum Mechanics II 

Physics 732-Spring 2019

Prof. Lisa Everett
5215 CH, 262-4699
leverett@wisc.edu

Grader (HW only): Trevor Oxholm

Lectures: 8:50-9:40 AM MWF

Location:  2223 Chamberlin Hall

Office Hours: MW 2-3 PM, F 10:30-11:30 AM. (If those times don't work, email or ask before/after class for an appointment.)

Course Material:  This course is a continuation of Physics 731. The specific list of topics can be found in the following syllabus.

Lecture Notes: Lecture notes will be posted here and updated regularly (refresh your browser to make sure you are looking at the most current version). 

 

Clebsch-Gordan Table: The Clebsch-Gordan table can be found here.

Homework: Homework and solutions are posted below. 

 

Homework policies:

  • Problems assigned from the course text will be written out and labeled with S1r (for the 1st Ed., revised) and S2 (for the 2nd Ed.). These problems will occasionally be changed from their original form in terms of what you have to calculate and/or what method you will have to use to solve the problem, in which case they will be marked as "modified."
  • Please submit your homework to the grader's department mailbox by the due date/time. The departmental mailboxes are across from the physics department office, 2320 CH.
  • Each homework problem will be graded out of a scale of 0-5, with 5=perfect, 4=good effort, 3=some effort, 2=little effort, and 0=no effort.  
  • Please make your answers clear and legible. Do not use pages torn from spiral notebooks, or submit spiral notebooks.  Please do not submit your work electronically. If your work is not shown clearly and is not sufficiently legible you may not be given full credit for your effort.  (Any deductions given for presentation issues will be at the discretion of the grader.)
  • Any questions regarding the homework grading should be directed to Prof. Everett, not to the grader.
  • Late homework will not be accepted. (Exceptions may be possible, but only in cases of genuine emergencies. Such situations must be discussed individually with Prof. Everett.)  If you are struggling to complete an assignment, please note that it is infinitely better to turn in something to the grader's mailbox on time, however meager, than to turn in nothing. If you do miss an assignment, it is recommended that you complete it at some point in the semester and hand it in directly to Prof. Everett. It will not be graded in the usual sense, but your effort will be noted and appreciated in the final grade determination.

Note: Questions are welcomed and encouraged. However, it is strongly recommended that you ask questions in person.  Please be warned that questions asked via email may not be answered in time (if at all). An email question will only be answered promptly if the answer is likely to benefit the majority of the students.  In such cases, the questions will be answered via group email. 

Exams: There will be two in-class (50 minute) midterm exams, and one two-hour cumulative final exam.   All exams will be closed notes and closed book.   No calculators, cheat sheets, phones, etc. are allowed.  

All exams will be graded using a blind grading system using your student ID number as the sole identifier.  Please read the following instructions carefully and be sure to follow them.  

  • For each exam, you will label your exam only with your student ID number (not your name!), so please have your ID information ready.  There will be a space on the exam sheet to enter your ID number.  
  • After you finish the exam, you must attach your exam sheet to the top of your solutions, and make sure your ID number is clearly written and legible on the exam sheet so that your work can be identified.  

Please note that once the grades are completed and entered into the spreadsheet according to ID number, your name will (most likely) be written on the exam to help save time in retrieving the exams once they are given back in class.  The gradebook will not be blinded to Prof. Everett during the course -- it is just for the real-time exam grading process.  If you have any questions about this procedure or the above instructions, please ask Prof. Everett.

Cheating of any form will not be tolerated.  This includes violating the above rule about supplemental materials/devices, and continuing to work on your exam once it is time to stop. Cheating is a form of academic misconduct. As such, it will be dealt with according to campus policies on academic misconduct (more information can be found at the Office of Student Conduct and Community Standards).

The exam dates are:

  • Midterm 1: 3/1/19, in class.  Topics: equivalent descriptions, time reversal symmetry, density operator, variational method, and time-independent perturbation theory (non-degenerate and degenerate cases), as found in Lecture Notes 1-2 and HW 1-3. 
     
  • Midterm 2: 4/12/19, in class. Topics: time-dependent perturbation theory, sudden approximation, adiabatic approximation, Fermi's Golden Rule, interaction picture, identical particles, potential scattering (up to and including the Born series), as found in Lecture Notes 3-5 (up to and including page 7 of Lecture Notes 5, before the section on partial waves) and HW 3-6. 
     
  • Final Exam: 5/6/19, 7:45 AM -- 9:45 AM, Sterling 1313. Topics: cumulative (Lecture Notes 1-5 and HW 1-8), which includes all material described above for Midterms 1 and 2, and the all scattering theory material of Lecture Notes 5 except for Coulomb scattering. There will be an emphasis on the material covered from the middle of the semester on (i.e. topics that are listed above for Midterm 2, and topics covered thereafter).

Be sure to inform Prof. Everett well in advance if you have any conflicts with the scheduled exam dates. Makeup exams may be arranged in cases of illness or travel for research purposes (such as to a conference). Any exam makeup arrangements must be approved by Prof. Everett at least a week prior to the exam date unless medical emergencies make this impossible.   

Grading Policy: The plan for determing the final grades is: 20% HW, 40% midterms (20% each), 40% final.

Text: The main texts are 

  • J. J. Sakurai,  Modern Quantum Mechanics (required). There are two main editions to this text: the 1st Edition Revised, Addison-Wesley Press (1994) (out of print, but copies abound), and the 2nd Edition, with co-author J. Napolitano, Cambridge (2017), which is in print.   Please feel free to use either edition.  These will be labeled as S1r and S2, in what should be self-explanatory notation.  Physics 732 will pick up where Physics 731 left off, from Chapter 4 to Chapter 7 (and a subset of topics in Chapter 8 of the 2nd edition).  
     
  • R. Shankar, Principles of Quantum Mechanics, 2nd Ed., Springer (1994).  This text is not required. However, it is a highly recommended resource text.

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).
  • A. Messiah, Quantum Mechanics, Dover (1999).
  • E. Merzbacher, Quantum Mechanics, 3rd Ed., Wiley (1997).
  • L. D. Landau and E.M. Lifshitz, Quantum Mechanics, Pergamon Press (1959).

  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).
  • P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford (1930).

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.
  • M. Hammermesh, Group Theory and its Application to Physical Problems, Dover (1989).  First published by Addison-Wesley in 1962.
  • P. Morse and H. Fesbach, Methods of Theoretical Physics, McGraw-Hill (1953).  Now published by Feshbach publishing.

Additional references include

  • M. Nakahara, Geometry, Topology, and Physics (Graduate Student Series in Physics), Institute of Physics Publishing (1990). 
  • R. Eisberg and R. Resnick, Quantum Mechanics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd Ed. John Wiley & Sons (1985).
  • M. Morrison, T. Estle, and N. Lane, Quantum States of Atoms, Molecules, and Solids, Prentice-Hall (1976).

General Rules for Class:

  • Show up
  • Pay attention
  • Be respectful
  • Work hard

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, one place to find resources and information is the Climate and Diversity page on the Physics Department website.

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