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Oxford University: New York, 1997. ISBN 0-19-509202-3.
Although Quantum Mechanics: Classical Results,
Modern Systems, and Visualized Examples is a text written
for undergraduate physics students, it is a valuable book
for chemists also. It has been my experience that the
preparation beginning chemistry graduate students have in
quantum mechanics is spotty at best. This can be
problematic, especially for beginning physical chemists. Often, a
graduate student who is learning from a book such as
Sakurai's or Messiah's finds herself or himself badly overmatched.
I myself prefer to use books such as Park's or others that
are aimed at chemists, but often a different perspective at
the same level or lower is helpful. I routinely use books
aimed at senior-level physics students to provide rigor
without overwhelming beginning chemistry graduate students.
Richard Robinett has set out quite a task for
himself with this book. As the title suggests, this text is meant
to provide the student with a connection between
well-worn results that have become standard examples in most
quantum mechanics texts, and in addition provide some
insight to newer examples. In the preface, Robinett states
that there is a "continuing need for updated presentations"
and that "new examples and novel applications will continue
to appear ." and this is certainly true.
Worked examples are used to illustrate the ideas.
Additionally, every chapter ends with both qualitative
questions and longer problems to solve, many of which I
have not seen before. Examples include the quantum defect
in alkali atoms and Doppler cooling of atoms. I like the
problems very much, as they try to provide a feel for both
the mathematical tricks used to solve a problem and the
underlying physical processes being described. Robinett
has filled the book with figures; I don't think I have seen
a book with more illustrations. To paraphrase
Robinett, just because a picture is a cliche it isn't
necessarily wrong, and most of the classic illustration examples are used.
In addition, most of the critical ideas or equations have an
accompanying illustration. This is an aspect of the book
that I really find myself liking. For example, a series of
figures showing the time development of a two-state wave
function, including the position and momentum space
distributions as well as the probability flux over time, clearly
illustrates the differences between position and momentum
representations of a wave function. In order to give some idea of
the precision of the quantum mechanical equations,
comparisons are made throughout the book between the
theoretical predictions and pertinent experimental results.
The figures are not filled with unnecessary or
otherwise distracting information. They are simply clear and
lucid examples that add much to the discussion in the
text. The book is not filled with specific computer examples,
nor does it come with a disk or CD. Robinett has chosen to
point the instructor or student towards existing software
and other books to use the computer as a tool. I like this
idea, as suggesting ways to solve equations using
Mathematica or Maple. Both allow freedom to use whatever you are
comfortable with, and it frees the text to focus on quantum
mechanics. It also removes the possibility of including
software because everyone else is doing it, a trap that many
texts fall into nowadays.
Most quantum mechanics books now contain
appendices that run through the basics of common integrals,
functions, and mathematical tools such as matrix algebra.
I thought that most of the appendices here were too light,
at least from a chemistry point of view. Hermite
polynomials and Legendre polynomials are among those that I feel
require a bit more discussion. I did find the appendix on
common integrals and series expansions very
enlightening, however.
I feel it is valuable for physical chemists to have a
large bag of tricks, as far as mathematics and quantum
mechanics go. While this book is not fully suitable as a primary
text for chemists, its wide range of subjects, assortment of
applications and problems, and visual environment make it
a valuable resource in the teaching and learning of
quantum mechanics.
There few parts of this book that are clearly of no
use to chemists. Often you find yourself coming back to a
book in order to supplement a class or help you understand
something more clearly. I think that I have just found
another book like that!
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