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Lie Groups for Pedestrians
Contributor(s): Lipkin, Harry J. (Author)
ISBN: 0486421856     ISBN-13: 9780486421858
Publisher: Dover Publications
OUR PRICE:   $11.66  
Product Type: Paperback - Other Formats
Published: July 2002
Qty:
Annotation: This book shows how the well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin; the three-dimensional harmonic oscillator; algebras of operators that change the number of particles; permutations, bookkeeping, and Young diagrams; and more. 1966 edition.
Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - Linear
- Mathematics | Applied
Dewey: 539.720
LCCN: 2002022117
Series: Dover Books on Physics
Physical Information: 0.45" H x 5.28" W x 8.58" (0.48 lbs) 210 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis without necessarily understanding all of group theory. This book is designed to familiarize physicists with those techniques. Specifically, the author aims to show how the well-known methods of angular momentum algebra can be extended to treat other Lie groups, with examples illustrating the application of the method.
Chapters cover such topics as a simple example of isospin; the group SU3 and its application to elementary particles; the three-dimensional harmonic oscillator; algebras of operators which change the number of particles; permutations; bookkeeping and Young diagrams; and the groups SU4, SU6, and SU12, an introduction to groups of higher rank. Four appendices provide additional valuable data.