Poetry Madness
 
 

Recently Viewed clear list


Interviews | March 17, 2014

Shawn Donley: IMG Peter Stark: The Powells.com Interview



Peter StarkIt's hard to believe that 200 years ago, the Pacific Northwest was one of the most remote and isolated regions in the world. In 1810, four years... Continue »
  1. $19.59 Sale Hardcover add to wish list

spacer
Qualifying orders ship free.
$12.95
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
Qty Store Section
1 Burnside - Bldg. 2 Mathematics- Lie Groups and Algebra
25 Remote Warehouse Mathematics- Group Theory

Lie Groups for Pedestrians 2ND Edition

by

Lie Groups for Pedestrians 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

This guide, a reprint of a 1966 work (itself a second edition of a 1965 work, North-Holland Publishing), is for physicists who want to familiarize themselves with algebraic techniques that have their basis in group theory. Lipkin (The Weizmann Institute of Science, Israel) describes how the well-known techniques of angular momentum algebra can be extended to treat other Lie groups and gives several examples illustrating the application of the method. The appendices present a detailed study of the application of SU3 algebra to unitary symmetry of elementary particles.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.

Synopsis:

This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.

Table of Contents

  Preface to first edition

  Preface to second edition

1. Introduction

  1.1 Review of angular momentum algebra

  1.2 Generalization by analogy of the angular momentum results

  1.3 Properties of bilinear products of second quantized creation and annihilation operators

2. Isospin. A simple example

  2.1 The Lie algebra

  2.2 The use of isospin in physical problems

  2.3 The relation between isospin invariance and charge independence

  2.4 The use of the group theoretical method

3. The group SU subscript 3 and its application to elementary particles

  3.1 The Lie algebra

  3.2 The structure of the multiplets

  3.3 Combining SU subscript 3 multiplets

  3.4 R-symmetry and charge conjugation

  3.5 The generalization to any SU subscript 3 algebra

  3.6 The octet model of elementary particles

  3.7 The most general SU subscript 3 classification

4. The three-dimensional harmonic oscillator

  4.1 The quasispin classification

  4.2 The angular momentum classification

  4.3 Systems of several harmonic oscillators

  4.4 The Elliott model

5. Algebras of operators which change the number of particles

  5.1 Pairing quasispins

  5.2 Identification of the Lie algebra

  5.3 Seniority

  5.4 Symplectic groups

  5.5 Seniority with neutrons and protons. The group Sp subscript 4

  5.6 Lie algebras of boson operators. Non-compact groups

  5.7 The general classification of Lie algebras of bilinear products

6. Permutations, bookkeeping and young diagrams

7. The groups SU subscript 4, SU subscript 6 and SU subscript 12, an introduction to groups of higher rank

  7.1 The group SU subscript 4 and its classification with an SU subscript 3 subgroup

  7.2 The SU subscript 2 xSU subscript 2 multiplet structure of SU subscript 4

  7.3 The Wigner supermultiplet SU subscript 4

  7.4 The group SU subscript 6

  7.5 The group SU subscript 12

Appendix A. Construction of the SU subscript 3 multiplets by combining sakaton triplets

Appendix B. Calculations of SU subscript 3 using an SU subscript 2 subgroup: U-spin

Appendix C. Experimental predictions from the octet model of unitary symmetry

Appendix D. Phases, a perennial headache

  Bibliography

  Subject Index

Product Details

ISBN:
9780486421858
Author:
Lipkin, Harry J.
Publisher:
Dover Publications
Author:
Lipkin, Harry J.
Author:
Physics
Location:
Mineola, N.Y.
Subject:
Physics
Subject:
Applied
Subject:
Algebra - Linear
Subject:
Group Theory
Subject:
Particles (nuclear physics)
Subject:
Lie groups
Subject:
Particles
Subject:
Mathematics-Group Theory
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Series Volume:
no. 01-08
Publication Date:
20020731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
208
Dimensions:
8.5 x 38 in 0.5 lb

Other books you might like

  1. A Concept of Limits New Trade Paper $8.95
  2. Graduate Texts in Mathematics #94:...
    New Hardcover $82.75
  3. Challenging Mathematical Problems... New Trade Paper $14.95
  4. Graduate Texts in Mathematics #0162:... New Trade Paper $67.25
  5. Structure & Representations of... Used Hardcover $19.50
  6. Multivariate Calculus and Geometry... New Trade Paper $56.95

Related Subjects

Education » Writing
Pets » Horses » Care
Science and Mathematics » Mathematics » Algebra » Lie Groups and Algebra
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Physics » General

Lie Groups for Pedestrians 2ND Edition New Trade Paper
0 stars - 0 reviews
$12.95 In Stock
Product details 208 pages Dover Publications - English 9780486421858 Reviews:
"Synopsis" by ,
This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.
"Synopsis" by ,
This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.