Lie Groups for Pedestrians

Capa
Courier Dover Publications, 2002 - 182 páginas
1 Crítica

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.

  

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Índice

INTRODUCTION
1
ISOSPIN A SIMPLE EXAMPLE
19
THE GROUP SU AND ITS APPLICATION TO ELEMENTARY PARTICLES
33
THE THREEDIMENSIONAL HARMONIC OSCILLATOR
57
ALGEBRAS OF OPERATORS WHICH CHANGE THE NUMBER OF PARTICLES
69
PERMUTATIONS BOOKKEEPING AND YOUNG DIAGRAMS
96
THE GROUPS SU4 SU6 AND SU12 AN INTRODUCTION TO GROUPS OF HIGHER RANK
103
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Referências a este livro

Nuclear Structure, Volume 2
Aage Bohr,Ben R. Mottelson
Pré-visualização indisponível - 1998
Elementary Particles
I. S. Hughes
Pré-visualização limitada - 1991
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