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Symmetry theory in molecular physics with Mathematica : a new kind of tutorial book

Author: William Martin McClain
Publisher: New York : Springer, 2009.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"There is a paper version of this book and a CD ... version. The paper version is a reference work, providing most of the material on the CD. But you can put the CD into a computer and read the unabridged version from the screen, letting Mathematica recalculate all the results in the book as you go. If you do this, the Mathematica program will always be prepared to carry out experiments that are suggested in the  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William Martin McClain
ISBN: 9780387734699 0387734694
OCLC Number: 173718695
Description: xv, 689 pages : illustrations (some color) ; 24 cm + 1 CD-ROM (4 3/4 in.)
Contents: A tutorial on notebooks.- A basic tutorial.- The meaning of symmetry.- Axioms of group theory.- Several kinds of groups.- The fundamental theorem.- The multiplication table.- Molecules.- The point groups.- Euler rotation matrices.- Lie#x2019;s axis-angle rotations.- Recognizing matrices.- to the character table.- The operator MakeGroup.- Product groups.- Naming the point groups.- Tabulated representations of groups.- Visualizing groups.- Subgroups.- Lagrange#x2019;s Theorem.- Classes.- Symmetry and quantum mechanics.- Transformation of functions.- Matrix representations of groups.- Similar representations.- The MakeRep operators.- Reducible representations.- The MakeUnitary operator.- Schur#x2019;s reduction.- Schur#x2019;s First Lemma.- Schur#x2019;s Second Lemma.- The Great Orthogonality.- Character orthogonalities.- Reducible rep analysis.- The regular representation.- Projection operators.- Tabulated bases for representations.- Quantum matrix elements.- Constructing SALCs.- Hybrid orbitals.- Vibration analysis.- Multiple symmetries.- One-photon selection rules.- Two-photon tensor projections.- Three-photon tensor projections.- Class sums and their products.- Make a character table.
Responsibility: William Martin McClain.
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Abstract:

This volume describes the fundamentals of Mathematica in symmetry and group theory. The development and traits of character tables are described, in addition to methods for calculation. Physical  Read more...

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From the reviews:"The layout of McClain's book definitely reflects the author's idea of the book, together with multiple examples ... . First of all it is partitioned into three Parts which are Read more...

 
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