Group Theory and Its Application to Physical Problems

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Courier Corporation, 1 janv. 1989 - 509 pages

"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews
This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics.
The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment. 77 illustrations.
"A very welcome addition to [the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." — Contemporary Physics. Index. Bibliography. Problems. Tables.

 

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Table des matières

ELEMENTS OF GROUP THEORY
1
SYMMETRY GROUPS
32
GROUP REPRESENTATIONS
68
IRREDUCIBLE REPRESENTATIONS OF THE POINTSYMMETRY GROUPS
115
MISCELLANEOUS OPERATIONS WITH GROUP REPRESENTATIONS
128
PHYSICAL APPLICATIONS
161
THE SYMMETRIC GROUP
182
CONTINUOUS GROUPS
279
AXIAL AND SPHERICAL SYMMETRY
322
LINEAR GROUPS IN nDIMENSIONAL SPACE IRREDUCIBLE TENSORS
377
APPLICATIONS TO ATOMIC AND NUCLEAR PROBLEMS
413
RAY REPRESENTATIONS LITTLE GROUPS
458
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