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Lie Groups for Pedestrians
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Lie Groups for Pedestrians

Lie Groups for Pedestrians

Harry J. Lipkin

190 pages, parution le 03/03/2003

Résumé

According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure of 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. Chapter headings include such topics as 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; the groups SU4, SU6 and SU12, an introduction to groups of higher rank, and more.

Contents

  • Introduction
  • Isospin. A Simple Example
  • 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
  • The Groups SU4, SU6 and SU12 An Introduction to Groups of Higher Rank

Caractéristiques techniques

  PAPIER
Éditeur(s) Dover
Auteur(s) Harry J. Lipkin
Parution 03/03/2003
Nb. de pages 190
Format 13,5 x 21,5
Couverture Broché
Poids 216g
Intérieur Noir et Blanc
EAN13 9780486421858

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