This
is an introductory course on the fundamental properties of quantum mechanics
using a linear vector
space approach. Some time is spent discussing the quantum theory
of measurement and various interpretations
of the theory.
Prerequisites: Physics 303, Modern Physics,
and Math 221, Linear Algegra
Instructor: Jacob
Text: Goswami, Quantum Mechanics (W. C. Brown 1992)
Generally a good text, although
it is a bit careless with notation in places, there are a few minor errors,
and the mathematical development
is not always as clear and concise as it might be. The inclusion of material
on the interpretation of
quantum mechanics makes up for these shortcomings for our purposes.
A final class presentation on a related topic will be required.
Some possible topics:
Interpretations
of quantum mechanics
Hidden varible interpretations
Einstein, Rosen, Podolsky paradox
Bell's theorem
Quarks and QCD
W-particle and electro-weak interaction
Symmetry groups
Computer simulations
Schrodinger equation for potential well
Wave packets
Some good references:
Bohm, Quantum Theory
A somewhat philosophical introduction. Examines carefully the fundamental
ideas.
Herbert, Quantum Reality
Examines seven different interpretations of quantum theory. Includes a
discussion of Bell's theorem.
Park, Introduction to
the Quantum Theory
One of the better undergraduate texts, with a very clear and complete development
of the mathematical
formalism. Often does things more neatly than Goswami. Too much material
for us to cover in one term,
but the first half might be a very useful reference.
Townsend, A Modern Approach
to Quantum Mechanics
Unusual in that it begins with spin and matric mechanics, which does help
to emphasize the fundamentals
of quantum mechanics without getting involved with the mathematics of wave
packets, delta functions, etc.
Sherwin, Introduction
to Quantum Mechanics
An undergraduate introduction with emphasis on the wave function representation.
Lots of good, simple examples.
Dicke & Witke, Introduction
to Quantum Mechanics
A bit more mathematical, but clear and precise. (Often used in a first
year graduate course.)
Close, The Cosmic Onion
Recent ideas on quarks, fundamental particle physics, symmetry groups,
etc. at a level that ought
to be somewhat understandable.
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Last
modified October 9, 1998 by Richard Jacob