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

  • Authors
  • K.┬áT.┬áHecht

Part of the Lecture Notes in Physics book series (LNP, volume 290)

About this book

Introduction

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.

Keywords

algebra particle physics physics symmetry

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0017656
  • Copyright Information Springer-Verlag 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18537-6
  • Online ISBN 978-3-540-48011-2
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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