Fall 2004

Final solutions posted

Homework and Exam Problems

Miscllaneous Notes

Lecture Notes

Useful textbooks

Relevant Articles and Books

Useful Links

Important Information

Computing Issues

• B. Friedrich and D. Herschbach, "Stern and Gerlach: How a bad cigar helped reorient atomic physics," Physics Today 56, 53 (2003). PDF or html.
• The Nobel Prize in Physics 1943 to Otto Stern
• Allan Franklin, "Right Experiment, Wrong Theory: The Stern-Gerlach Experiment" in Stanford Encyclopedia of Philosophy, Supplement to Experiment in Physics
• J.B. Taylor, "Magnetic Moments of the Alkali Metal Atoms", Phys. Rev. 28, 576-583 (1926). (A paper I could find online that shows the splitting first demonstrated by W. Gerlach and O. Stern in Zeit. f. Physik, 8, 110 (1921); 9, 349, 353 (1922).)
• George Gamov, Mr Tompkins in Paperback, comprising "Mr Tompkins in Wonderland" and "Mr Tompkins Explores the Atom"
• George Gamov and Russell Stannard, The New World of Mr Tompkins, a "politically correct" version.
• Henry Krips, Measurement in Quantum Theory, in Stanford Encyclopedia of Philosophy.
• An example of electron double slit experiment by A. Tonomura et al, at the bottom of this page, and the movie.
• The famous experiment that discovered parity violation by polarizing spin of Co⁶⁰ nuclei, Phys. Rev. 105, 1413-1415 (1957) by C.S. Wu et al.
• R.P. Feynman, "Space-Time Approach to Non-Relativistic Quantum Mechanics", Rev. Mod. Phys. 20, 367-387 (1948)
• R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, 1965.
• A. Tonomura, N. Osakabe, T. Matsuda, T. Kawasaki, J. Endo, S. Yano and H. Yamada, "Evidence for Aharonov-Bohm effect with magnetic field completely shielded from electron wave," Phys. Rev. Lett. 56, 792 (1986). The earlier paper cited in Sakurai (footnote p. 139) was criticized about the leakage.
• W.-T. Lee, O. Motrunich, B. E. Allman, and S. A. Werner, "Observation of Scalar Aharonov-Bohm Effect with Longitudinally Polarized Neutrons," Phys. Rev. Lett. 80, 3165 (1998). An earlier work was criticized because the neutrons were not polarized and hence there was a classical torque acting on neutrons. This work demonstrated an environment free from classical forces yet giving a phase. Followed up by a full paper Phys. Rev. A60, 4272-4284 (1999).
• R. Colella and A. W. Overhauser, S. A. Werner, "Observation of Gravitationally Induced Quantum Interference,"Phys. Rev. Lett. 34, 1472 (1975)
• S. A. Werner and J. -L. Staudenmann, R. Colella, "Effect of Earth's Rotation on the Quantum Mechanical Phase of the Neutron," Phys. Rev. Lett. 42, 1103 (1979)
• E. Witten, "Global Aspects of Current Algebra," Nucl. Phys. B223, 422-432 (1983).
• The discovery of the electron spin by S.A. Goudsmit
• George Eugene Uhlenbeck
• The Story of Spin by Sin-itiro Tomonaga (1965 Nobel)
• Clebsch-Gordan Coefficient from Wolfram MathWorld and ClebschGordan from Wolfram Functions Site
• T.D. Lee and C.N. Yang, "Question of Parity Conservation in Weak Interactions," Phys. Rev. 104, 254-258 (1956).
• 1957 Nobel Prize in Physics to Tsung-Dao Lee and Chen Ning Yang.
• "Symmetry Destroyed: The Failure of Parity", by Krishna Myneni. A fascinating historical account about the parity violation.
• Wick C. Haxton and Carl E. Wieman, "Atomic Parity Non-Conservation and Nuclear Anapole Moments", Ann. Rev. Nucl. Part. Sci. 51, 261-293 (2001), a nice review article on parity violation in atoms.
• "New Limit on the Electron Electric Dipole Moment" by B. C. Regan, Eugene D. Commins, Christian J. Schmidt, and David DeMille, Phys. Rev. Lett. 88, 071805 (2002), the world best limit on the electron EDM from Gene Commins' group. Their previous publication is more informative, E. D. Commins, S. B. Ross, D. DeMille, and B. C. Regan, Phys. Rev. A 50, 2960 (1994).
• "First direct observation of time reversal noninvariance in the neutral kaon system" by CPLEAR Collaboration, Phys. Lett. B444, 43-51 (1998), the discovery of the time reversal violation.
• A couple of review articles on time reversal violation.
  Nick Mavromatos, "Experiment sees the arrow of time - at last!", Physics World, December, 1998.
  David Kestenbaum, "Particle Decays Reveal Arrow of Time", Science, 282, 602-603 (1998)
• J. H. Christenson, J. W. Cronin, V. L. Fitch, and R. Turlay, "Evidence for the 2π Decay of the K₂⁰ Meson", Phys. Rev. Lett. 13, 138-140 (1964), the Nobel-prize paper on the discovery of the CP violation.
• 1980 Nobel Prize in Physics to Fitch and Cronin for their discovery of the CP violation.
• John Ellis, "Why does CP violation matter to the universe?", CERN Courier 39, October 1999.
• A. Einstein, B. Podolsky, and N. Rosen, "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?" Phys. Rev. 47, 777-780 (1935)
• J.S. Bell, "On the Einstein Podolsky Rosen paradox," Physics 1 #3, 195 (1964), a reprint
• Alain Aspect, Jean Dalibard, and Gérard Roger, "Experimental Test of Bell's Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982)
• Alain Aspect, "Bell's inequality test: more ideal than ever," Nature 398, 189-190 (1999)
• Andrew Whitaker, "John Bell and the most profound discovery of science," Physics World Dec 1998
• Tony Leggett (2003 Nobel), "Quantum theory: weird and wonderful," Physics World Dec 1999
• Peter Rogers, "Mesons violate Bell's inequality", Physics World Nov 2003

• HW #1
• HW #2 and solutions in Mathematica Notebook or PDF
• HW #3 and solutions in Mathematica notebook or PDF, and the improved version by Daniel Mathematica notebook or PDF
• HW #4 and solutions in Mathematica notebook or PDF
• HW #5 and solutions in Mathematica notebook or PDF
• HW #6 and solutions in Mathematica notebook or PDF
• Midterm, revision, and solutions in Mathematica notebook or PDF
• HW #7, and solutions in Mathematica notebook or PDF, and the improved version by Daniel Mathematica notebook or PDF
• HW #8, and solutions in Mathematica notebook or PDF
• HW #9, and solutions in Mathematica notebook or PDF
• HW #10, and solutions in Mathematica notebook or PDF
• HW #11, and solutions in Mathematica notebook or PDF
• Final Exam, and solutions in Mathematica notebook or PDF

• Lecture notes by Prof. Robert Littlejohn. In particular, look at nos. 4 and 5 on the WKB method.
• WKB Method (my own lecture notes with some different aspects)
• Supplemental Material on Harmonic Oscillator
• Path Integral
• Electromagnetic Coupling
• Spherical Harmonics and a Mathematica notebook to plot them.
• Landau Levels
• Variational Method
• Convergence of Perturbation Theory
• Fine and Hyperfine Structure
• Time-dependent Perturbation Theory

• Delta Function
• Steepest Descent Method
• Classical Mechanics I
• Classical Mechanics II
• Continuity Equation
• Tensor Product

• Particle Data Group at Lawrence Berkeley National Laboratory
• American Physical Society Journal Search Form

Class Schedules

Lectures:	Mon Wed Fri 9:00-10:00 102 Moffitt Library
Discussion sections:	Tue 3-4pm, Wed 3-4pm, both in 508-20 Evans
Homeworks:	weekly, due Fridays, 4pm
Exams:	one Midterm, one Final

Instructor: Hitoshi Murayama

E-mail:	murayama at physics.berkeley.edu
Phone:	2-1019 (no voice machine), 486-5589 (LBNL, with voice machine)
Office:	447 Birge, 50A-5109 (LBNL)
Office Hours:	Fridays, 10-12 am

TA: Daniel T. Larson

E-mail:	dtlarson at socrates.berkeley.edu
Phone:	2-5647
Office:	254 LeConte
Office Hours:	Thu 2-4pm

Reader: I-Sheng Yang

E-mail:	jingking at berkeley.edu
Phone:	4-3772
Office:	TBD
Office Hours:	TBD

137AB or equivalent

• Fundamental Concepts
• Quantum Dynamics
• Symmetry in Quantum Mechanics
• Approximation Methods

• Modern Quantum Mechanics, J. J. Sakurai, Addison and Wesley (1994). (required)
• Quantum mechanics, by Albert Messiah, Amsterdam, North-Holland Pub. Co. (1961).
• Quantum mechanics: non-relativistic theory, by L. D. Landau and E. M. Lifshitz, 3rd ed., rev. and enl., Oxford, New York, Pergamon Press (1977).

• I've set up a class account on socrates. Socrates runs Solaris, a flavor of Unix from Sun Microsystems. Click here to find how to use it. You can use either telnet or ssh to login, but I strongly discourage the use of telnet as it is insecure. Type

      % ssh py221-xx@socrates.berkeley.edu -X
    

  to login. (Replace xx with yours.) The option "-X" is used to forward X11 through secure channel. A terminal emulator to use ssh on Windows is available here; it requires a valid CalNet ID. ssh is built into Mac OS X.
• You will be using Mathematica to solve some of the problems. PANIC cluster has a license for more than ten processes, and socrates has an unlimited license. A student license can be purchased from The Scholar's Workstation at a hefty discount for PCs and Macs from the regular academic price of $895.
• To use Mathematica remotely on socrates or PANIC, you need an X-server software on your computer. On Windows, go to http://software.berkeley.edu/ and install Exceed. Click here for more detailed instructions by Adam Bryant. On Macs, you can install X11 from system disks (see instructions). On Linux and other Unix machines, X11 must be a part of the standard installation.

  Mathematica version 4.0 on socrates needs special fonts. Type

    % xset fp+ tcp/socrates.berkeley.edu:7100
    

  in your X-windows software (e.g., Exceed or X11) to use the font server on socrates. Despite the warning on fonts (just click OK), it seems to work fine. Mathematica version 5.0 on PANIC does not require a particular setup on your end.

  After logging in with X11 forwarding, type

    % mathematica &
    

  to start a Mathematica session.
• Daniel wrote a sample notebook to get you started with Mathematica. Thank you, Daniel! You are not required to use Mathematica in this course, but I will post solution sets in Mathematica notebooks and design problems assuming you will be using Mathematica. I cannot guarantee if you will be able to produce results we expect using other programs. If you insist, I suspect Maple would do probably fine. I am less sure with Matlab, especially in the area of algebra. Share your stories with us!
• To print from Mathematica, probably the easiest is to install MathReader on your PC, scp or sftp your notebook file to your PC, open it with MathReader, and print it from there.

  Another way is to use Mathematica on socrates, go to File menu and choose Print. A dialog box appears:
  
  For Print Destination, choose File and specify the filename. Make sure that "Include Mathematica fonts in document" is chosen. Click OK and the notebook is saved as a postscript file. A postscript file can be previewed with

  % ghostview xxx.ps

  To print it from your PC, convert it to a PDF file with

  % ps2pdf xxx.ps

  and then scp or sftp the file xxx.pdf to your hard drive, open it with Acrobat Reader, and then print. To print only the graphics (or just one cell in general), choose the cell by clicking the blue square bracket on the right, go to File menu → Save Selection As → EPS → give a filename xxx.ps, and the rest is the same.

• To help you better with homework problems, discussion sections had been moved to Tuesdays and Wednesdays. They start on 9/7 and 9/8. Discussion sections are used to (1) fill in gaps you find between what you've learned before and what is covered in this course, and (2) help you solve homework problems. For topics in category (1), I welcome suggestions by email. Make sure you cc the message to Daniel.
• I do not plan to distribute copies of syllabus, homework problems, solutions, lecture notes, etc, to save money and trees.
• You can access most of the journal articles through UC Berkeley electronic subscription from berkeley.edu domain, or from any other domains through the proxy server of the UC Berkeley Library. See instructions to use the proxy server. You need a valid CalNet ID.
• You are encouraged to work with your friends on homework.
• I don't have a strong opinion between in-class and take-home exams. I let you vote. Unlike homework, you have to work by yourself on exams. Each exam counts as two homework in the final grade.