Lie algebras and applications

Bibliographic Information

Lie algebras and applications

Francesco Iachello

(Lecture notes in physics, 708)

Springer, c2006

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Note

Includes bibliographical references (p. [189]-192) and index

Description and Table of Contents

Description

This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.

Table of Contents

Basic Concepts.- Semisimple Lie Algebras.- Lie Groups.- Irreducible Bases (Representations).- Casimir Operators and Their Eigenvalues.- Tensor Operators.- Boson Realizations.- Fermion Realizations.- Differential Realizations.- Matrix Realizations.- Spectrum Generating Algebras and Dynamic Symmetries.- Degeneracy Algebras and Dynamical Algebras.

by "Nielsen BookData"

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Details

  • NCID
    BA78815301
  • ISBN
    • 3540362363
  • LCCN
    2006929595
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xiv, 196 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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