These lecture notes comprise a three-semester graduate course in
quantum mechanics at the University of Illinois. There are a number
of texts which present the basic topics very well; but since a fair
quantity of the material discussed in my course was not available
to the students in elementary quantum mechanics books, I was asked
to prepare written notes. In retrospect these lecture notes seemed
sufficiently interesting to warrant their publication in this
format. The notes, presented here in slightly revised form,
consitutute a self-contained course in quantum mechanics from first
principles to elementary and relativistic one-particle mechanics.
Prerequisite to reading these notes is some familiarity with
elementary quantum mechanics, at least at the undergraduate level.
Preferably the reader should already have met the uncertainty
principle and the concept of a wave function. Prerequisites also
include sufficient acquaintance with complex cariables to be able
to do simple contour integrals and to understand words such as
"poles" and "branch cuts." An elementary knowledge of Fourier
transforms and series is necessary. I also assume an awareness of
classical electrodynamics.
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