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The Vector Coherent State Method and Its Application to Problems of Higher Symmetries

  • Book
  • © 1987

Overview

Authors:
  1. K. T. Hecht
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Part of the book series: Lecture Notes in Physics (LNP, volume 290)

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Table of contents (6 chapters)

  1. Front Matter

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  2. 1. Introduction

    Pages 1-30

  3. 2. The vector coherent state method

    Pages 31-36

  4. 3. Detailed examples

    Pages 37-108

  5. 4. Other applications

    Pages 109-110

  6. 5. The calculation of SU(3) Wigner coefficients

    Pages 111-136

  7. 6. An indirect application of vector coherent state theory: Construction of a group theoretically sound orthonormal Wigner supermultiplet basis

    Pages 137-150

  8. Back Matter

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About this book

These lectures review the recently developed vector coherent state method. The book is an excellent introduction to the field because of the many examples treated in detail, in particular those from nuclear and particle physics. These calculations will be welcomed by researchers and graduate students. The author reviews the concepts of coherent states of the Heisenberg algebra and shows then that the vector coherent state method maps the higher symmetry algebra into an n-dimensional harmonic oscillator algebra coupled with a simple intrinsic symmetry algebra. The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.

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