Quantum Mechanics II

Spring 2005

Good Job, Everybody!

Final Exam Solution posted

Lecture notes on spontaneous symmetry breaking, and Dirac equation posted

This course is a continuation of 221A in Fall 2004 Semester. It introduces more advanced aspects of Quantum Mechanics.

Lectures: Mon Wed Fri 9:00-10:00, 3 LeConte

Discussion section: Tu 3-4 (175 Barrows), Wed 2-3 (71 Evans)

Homeworks: weekly, due Fridays, 4pm

Exams: one Midterm, one Final

E-mail: murayama at physics

Phone: 2-1019 (no voice machine), 486-5589 (LBNL, with voice machine)

Office: 447 Birge, 50A-5109 (LBNL)

Office Hours: Fri 10:10-11:50

E-mail: mcargo at berkeley

Phone: N/A

Office: 443 Birge

Office Hours: Wed 3-4, Thu 2-3

221A

• Scattering Theory
• Many-Body Problems
• Quantization of Radiation Field
• Relativistic Quantum Mechanics

• 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).
• "Advanced Quantum Mechanics", J. J. Sakurai, Addison and Wesley (1967).
• "Relativistic Quantum Mechanics", James D. Drell and Sidney D. Bjorken, McGraw-Hill (1965).

• Scattering Theory I (Lippman-Schwinger)
• Scattering Theory II (Born Approximation)
• Scattering Theory III (Partial Waves, expanded)
• Scattering Theory IV
• Many-Body Physics I (Quantum Statistics)
• Many-Body Physics II (Atomic Physics)
• Many-Body Physics III (Molecular Physics) (still in preparation)
• Many-Body Physics IV (Nuclear Physics)
• Quantum Field Theory I.
• Quantum Field Theory II (Bose Systems).
• Quantum Field Theory III (Fermi Systems).
• Spontaneous Symmetry Breaking.
• Quantum Field Theory IV (Radiation Field).
• Relativisic Quantum Mechanics.
• Quantum ElectroDynamics.

• HW #1
• HW #2, solutions in notebook and PDF
• HW #3, solutions in notebook and PDF
• HW #4, solutions in notebook and PDF
• HW #5, solutions in notebook and PDF
• HW #6, solutions in notebook and PDF
• HW #7, solutions in notebook and PDF
• Midterm and hints on Thomas-Fermi model for Al+ positive ion in notebook and PDF, another notebook for Mathematica v4.1. Solutions in notebook and PDF, and the comparison plot of the Thomas-Fermi and actual levels of Al in PDF.
• HW #8, solutions in notebook and PDF
• HW #9, solutions in notebook and PDF
• HW #10, solutions in notebook and PDF
• HW #11, solutions in notebook and PDF
• HW #12 (corrected), solutions in notebook and PDF
• Take-Home Final Exam, solutions in notebook and PDF. Matt also provided a technique to attack the problem 1(c) using the spin network he covered in the section. Here is the scanned handwritten notes in PDF (4.1 MB) and a notebook file used for a part of the calculation.

• Notes on Contour Integrals
• Notes on Spherical Bessel Functions (expanded) and their use in Mathematica notebook
• Notes on how to obtain eigenvalues of the Schrodinger equation numerically, in notebook and PDF, and another notebook for Mathematica v4.1

• Rutherford Scattering by Michael Fowler (Virginia)
• The Thomson Model of the Atom, Rutherford's Experiment - Part I: 1906 to Early 1911, Rutherford's Experiment - Part II: The Paper of 1911, by John L. Park.
• "Scattering of 750-MeV Electrons by Calcium Isotopes", by J. B. Bellicard et al, Phys. Rev. Lett. 19, 527-529 (1967).
• "Elastic Electron Scattering from Lead-208 at 175 and 250 MeV", by J. B. Bellicard and K. J. van Oostrum, Phys. Rev. Lett. 19, 242-244 (1967).
• "The Frank-Hertz Experiment" from HyperPhysics
• A site on Multi-Configuration Hartree-Fock by Charlotte Froese Fischer (Vanderbilt), and its Java Applet by Simon Rochester, a student of Dima Budker.
• Ground Levels and Ionization Energies for the Neutral Atoms and Basic Atomic Spectroscopic Data from NIST
• "Wavelengths and Energy Level Classifications for the Spectra of Aluminum (Al Ithrough Al Xlll)," Victor Kaufman and W. C. Martin, J. Phys. Chem. Ref. Data, Vol. 20, No. 5, pp. 775-858 (1991), the original reference to the NIST energy spectrum for Al. It explains the mysterious "y ²D" state.
• WWW Table of Nuclear Structure and Adopted Level Scheme Drawings
• "Observation of Stationary Vortex Arrays in Rotating Superfluid Helium", by E. J. Yarmchuk, M. J. V. Gordon, and R. E. Packard, Phys. Rev. Lett. 43, 214-217 (1979).
• Vortex lattices in atomic BEC by Ketterle group
• The Casimir effect: a force from mothing, PhysicsWorld, September 2002 by Astrid Lambrecht