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Symmetry groups and their applications

Author: Willard Miller
Publisher: New York : Academic Press, ©1972.
Series: Pure and applied mathematics (Academic Press), v. 50.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This is a beginning graduate level textbook on applied group theory, treating those aspects useful in the physical sciences, specifically quantum mechanics. The theory is largely algebraic in nature, so proficiency in linear algebra and advanced calculus is required. The book addresses finite or discrete symmetry groups, e.g., point, space, and permutation groups; and Lie groups.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Willard Miller
ISBN: 0124974600 9780124974609
OCLC Number: 589081
Description: x, 432 pages : illustrations, tables ; 24 cm.
Contents: Elementary group theory --
The crystallographic groups --
Group representation theory --
Representations of the symmetric groups --
Lie groups and Lie algebras --
Compact Lie groups --
The rotations group and its representations --
The Lorentz group and its representations --
Representations of the classical groups --
The harmonic oscillator group --
Appendix : Hilbert space.
Series Title: Pure and applied mathematics (Academic Press), v. 50.
Responsibility: Willard Miller, Jr.

Abstract:

This is a beginning graduate level textbook on applied group theory, treating those aspects useful in the physical sciences, specifically quantum mechanics. The theory is largely algebraic in nature, so proficiency in linear algebra and advanced calculus is required. The book addresses finite or discrete symmetry groups, e.g., point, space, and permutation groups; and Lie groups.

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