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