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Symmetries in Science V

Algebraic Systems, Their Representations, Realizations, and Physical Applications

  • Book
  • © 1991

Overview

Editors:
  1. Bruno Gruber

    1. Southern Illinois University, Carbondale, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. L. C. Biedenharn

    1. Duke University, Durham, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. H. D. Doebner

    1. Technical University, Clausthal, Germany

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Dynamical Symmetries of Relativistic Two-and Many Body Systems

    • A. O. Barut
    Pages 1-13

  3. Algebraic Treatment of Multistep Processes in Electron-Molecule Scattering

    • Roelof Bijker
    Pages 15-29

  4. Symmetry, Constitutive Laws of Bounded Smoothly Deformable Media and Neumann Problems

    • E. Binz
    Pages 31-65

  5. Imitation of Symmetries in Local Quantum Field Theory

    • H. J. Borchers
    Pages 67-91

  6. Representations of Quantum Groups

    • V. K. Dobrev
    Pages 93-135

  7. Algebras and Symmetries — Quantum Mechanical Symmetry Breaking

    • H. D. Doebner, J. Tolar
    Pages 137-146

  8. q-Analysis and Quantum Groups

    • D. B. Fairlie
    Pages 147-157

  9. Orthogonal Polynomials and Coherent States

    • Philip Feinsilver
    Pages 159-172

  10. Algebraic Model for Molecular Electronic Spectra

    • A. Frank, R. Lemus, F. Iachello
    Pages 173-186

  11. Highest Weight Unitary Modules for Non-Compact Groups and Applications to Physical Problems

    • Juan García-Escudero, Miguel Lorente
    Pages 187-232

  12. Scattering Theory and the Group Representation Matrix

    • Joseph N. Ginocchio
    Pages 233-257

  13. Predicting “Anyons”: The Origins of Fractional Statistics in Two-Dimensional Space

    • Gerald A. Goldin
    Pages 259-277

  14. The Role of Parabose-Statistics in Making Abstract Quantum Theory Concrete

    • Thomas Görnitz
    Pages 279-292

  15. On Quantized Verma Modules

    • B. Gruber, Yu. F. Smirnov
    Pages 293-304

  16. The Role of Spectrum Generating Algebras and Dynamic Symmetries in Molecular Physics

    • F. Iachello
    Pages 305-322

  17. O(4) Symmetry and Angular Momentum Theory in Four Dimensions

    • P. Van Isacker
    Pages 323-340

  18. Representations of the Quantum Algebras U q (su(2)) and U q (su(1,1))

    • A. U. Klimyk, Yu. F. Smirnov, B. Gruber
    Pages 341-368

  19. From “Quantum Groups” to “Quasi-Quantum Groups”

    • Y. Kosmann-Schwarzbach
    Pages 369-393

  20. Symmetries of Icosahedral Quasicrystals

    • P. Kramer, Z. Papadopolos, D. Zeidler
    Pages 395-427
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Keywords

Editors and Affiliations

  • Southern Illinois University, Carbondale, USA

    Bruno Gruber

  • Duke University, Durham, USA

    L. C. Biedenharn

  • Technical University, Clausthal, Germany

    H. D. Doebner

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