Quantum Mechanics II

Spring 2005

Quick links

Homeworks and Exams

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

Instructor: Hitoshi Murayama

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

TA: Mattew Cargo

E-mail: mcargo at berkeley

Phone: N/A

Office: 443 Birge

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

Prerequisites

221A

Course Outline

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).

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