Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book
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The work Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book
Resource Information
The work Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book
 Title remainder
 A new kind of tutorial book
 Statement of responsibility
 by William McClain
 Language

 eng
 eng
 Summary
 Prof. McClain has indeed produced "a new kind of tutorial book." It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. The book may be read in your hand, or on a computer screen with Mathematica running behind it. It is intended for students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book has three major parts: Part I begins with the most elementary symmetry concepts, showing how to express them in terms of matrices and permutations. These are then combined into mathematical groups. Many chemically important point groups are constructed and kept in a Mathematica package for easy reference. No other book gives such easy access to the groups themselves. The automated group construction machinery allows you to tabulate new groups that may be needed in research, such as permutation groups that describe flexible molecules. In Part II, mathematical group theory is presented with motivating questions and experiments coming first, and theorems that answer those questions coming second. You learn to make representations of groups based on any set of symmetric objects, and then to make Mathematica operators that carry out rep construction as a single call. Automated construction of representations is offered by no other book. Part II follows a reconstructed trail of questions, clues and solid results that led Issai Schur to a complete proof of the Great Orthogonality. In Part III, the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems, which are now seen to fall within a unified intellectual framework. The topics include chemical bonding in symmetric molecules, molecular vibrations and rigorous reasoning about quantum mechanical matrix elements. As a concrete example of the enormous power of the automated projectors, the tensor operators for two and three photon processes are projected under all tabulated groups. All the machinery presented is general, and will work with new groups that you may construct. Finally, there is machinery that accepts as input the multiplication table of any group and returns as output its character table. This will be of great use to spectroscopists who deal with flexible molecules belonging to permutation groups, which are too numerous even for a Mathematica package
 Dewey number
 539.725
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 LFJL9Ruk_w
 Language note
 English
 LC call number
 QC770798
 Literary form
 non fiction
 Nature of contents
 dictionaries
Context
Context of Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial bookWork of
 Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book, by William McClain, (electronic resource)
 Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book, by William McClain, (electronic resource)
 Symmetry Theory in Molecular Physics with Mathematica : A new kind of tutorial book, by William McClain, (electronic resource)
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