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The course grades
and final exam scores are listed by student ID
numbers in this text file.
The relevant histograms are posted below.
Solutions to the final exam have been posted to Section III of this website. Some minor errors in the original version have been corrected and some additional bonus material has been added. These solutions now include five extra pages of bonus material.
The graded homeworks and final exams are available for pick-up any times during the next two weeks. Otherwise you may have to wait until fall quarter.
Have a great summer break---you earned it!!!
The General Information and Syllabus handout is available
in either PDF or Postscript format
[PDF | Postscript]
Some of the information in this handout is reproduced here.
General Information | ||
|---|---|---|
| Instructor | Howard Haber | |
| Office | ISB 326 | |
| Phone | 459-4228 | |
| Office Hours | Mondays and Thursdays 2--3 pm | |
| haber@scipp.ucsc.edu | ||
Lectures: Tuesdays and Thursdays, 10:00--11:45 am, ISB 235
Principles of Quantum Mechanics, 2nd Edition, by Ramamurti Shankar [Errata for the most recent printing (dated 2008) can be found here in PDF format.]
40% Homework (5 problem sets)
20% Midterm Exam (Thursday May 13, 2010, 10--11:45 am)
40% Final Exam (Wednesday June 9, 2010, 11 am--2 pm)
Homework assignments will be due on every second Tuesday of the academic quarter starting with the first assignment that is due on Tuesday April 13, 2010. The homework problem sets are not optional. You are encouraged to discuss the class material and homework problems with your classmates and to work in groups, but all submitted problems should represent your own work and understanding.
The final exam will be held in ISB 235. This exam will be three hours long and cover the complete course material. You must take the final exam to pass the course. You will be permitted to consult the class textbook, your own handwritten notes, and any class handout during the final exam.
If there is sufficient time, the following topics will also be treated:
Problem sets and exams are available in either PDF or Postscript formats.
The problem set and exam solutions are available in either PDF or postscript formats.
2. For a very nice treatment of the mathematics of antilinear and antiunitary operators, I am posting the following set of notes by C.M. Caves: [PDF].
3. Time-reversal in quantum mechanics is nicely described in a set of notes by Robert Littlejohn, provided for the 2005--06 graduate quantum mechanics class at UC Berkeley. I make these notes available to you here: [PDF | Postscript].
4. In the computation of the fine structure of hydrogen, we need to evaluate the expectation values <1/rn> with respect to the hydrogen atom radial wave functions. The book by Stephen Gasiorowicz, Quantum Physics, 3rd Edition (John Wiley & Sons, Inc., Hoboken, NJ, 2003) includes free supplemental material on the Wiley website. A clever way of evaluating <1/rn> for n=1,2,3 is provided by Supplement 8A to Gasiorowicz's textbook, which can be found here: [PDF].
1. For a nice review of applications of quantum mechanics to bound state systems of a quark-antiquark pair, see C. Quigg and J.L. Rosner, Quantum Mechanics with Applications to Quarkonium. This review includes a comprehensive treatment of the WKB approximation to one and three-dimensional bound state problems. The full-text is available here in [PDF] format.
2. In 1977, J.D. Jackson gave a colloquium in which he explained the connection between the fundamental intrinsic magnetic dipole moment and the hyperfine structure of the s-states of the hydrogen atom. Jackson provided a writeup of his colloquium as a CERN Yellow Report (CERN 77-17), which you can find here: [PDF]
3. The partial wave expansion for the Coulomb scattering amplitude fc(θ) does not converge in the usual mathematical sense, for any choice of scattering angle. This is perhaps not surprising given that the function fc(θ) is not square-integrable on the interval |cos θ|≤ 1. Nevertheless, one can introduce a less restrictive definition of summability to make sense of the partial wave expansion for the Coulomb scattering amplitude. This is briefly explained in the solution to problem 5 of Problem Set #4. For more details, see J.R. Taylor, Nuovo Cimento 23B, 313 (1974).
4. A superb resource for both the elementary functions and the special functions of mathematical physics is the Handbook of Mathematical Functions by Milton Abramowitz and Irene A. Stegun, which is freely available on-line. The home page for this resource can be found here. There, you will find links to a frames interface of the book. Another scan of the book can be found here.
5. The NIST Handbook of Mathematical Functions (published by Cambridge University Press), together with its Web counterpart, the NIST Digital Library of Mathematical Functions (DLMF), is the culmination of a project that was conceived in 1996 at the National Institute of Standards and Technology (NIST). The project had two equally important goals: to develop an authoritative replacement for the highly successful Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, published in 1964 by the National Bureau of Standards (M. Abramowitz and I. A. Stegun, editors); and to disseminate essentially the same information from a public Web site operated by NIST. The new Handbook and DLMF are the work of many hands: editors, associate editors, authors, validators, and numerous technical experts. The NIST Handbook covers the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. All of the mathematical information contained in the Handbook is also contained in the DLMF, along with additional features such as more graphics, expanded tables, and higher members of some families of formulas.
6. Another excellent website for both the elementary functions and the special functions of mathematical physics is the Wolfram Functions site. This site was created with Mathematica and is developed and maintained by Wolfram Research with partial support from the National Science Foundation.