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Differential Geometry, Group Representations, and Quantization

  • Conference proceedings
  • © 1991

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Editors:
  1. Jö-Dieter Hennig
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  2. Wolfgang Lücke
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  3. Jiří Tolar
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Part of the book series: Lecture Notes in Physics (LNP, volume 379)

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About this book

Differential geometry and analytic group theory are among the most powerful tools in mathematical physics. This volume presents review articles on a wide variety of applications of these techniques in classical continuum physics, gauge theories, quantization procedures, and the foundations of quantum theory. The articles, written by leading scientists, address both researchers and grad- uate students in mathematics, physics, and philosophy of science.

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Table of contents (17 papers)

  1. Front Matter

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  2. Global differential geometric methods in elasticity and hydrodynamics

    • E. Binz
    Pages 1-29

  3. GL(n, ℝ), tetrads and generalized space-time dynamics

    • Jan J. Sławianowski
    Pages 31-42

  4. On boundary conditions for Yang-Mills fields in spatially bounded domains

    • Jędrzej Śniatycki
    Pages 43-53

  5. Parallel transport of phases

    • Armin Uhlmann
    Pages 55-72

  6. An alternative approach to the quantization of linear relativistic field equations

    • Gerhard C. Hegerfeldt
    Pages 75-83

  7. A lattice approximation of the dirac equation

    • Jerzy Kijowski, artur Thielmann
    Pages 85-97

  8. Some hidden aspects of hidden symmetry

    • L. O'Raifeartaigh
    Pages 99-108

  9. A baryon standard model for electroweak and strong interactions

    • R. Râczka
    Pages 109-136

  10. Is the physical vacuum really Lorentz-invariant?

    • I. E. Segal
    Pages 137-143

  11. Quantization, coherent states and diffeomorphism groups

    • S. Twareque Ali, Gerald A. Goldin
    Pages 145-178

  12. Borel quantization and the origin of topological effects in quantum mechanics

    • J. Tolar
    Pages 179-190

  13. Symmetries of quantum group coupling coefficients

    • L. C. Biedenharn, M. A. Lohe
    Pages 191-206

  14. Symmetry groups and spectrum generating groups

    • Arno Bohm
    Pages 207-226

  15. Spectrum and character formulae of so(3, 2) unitary representations

    • V. K. Dobrev, E. Sezgin
    Pages 227-238

  16. Quantum theory of single events

    • A. O. Barut
    Pages 239-256

  17. Symmetry, entropy and complexity

    • Yuval Ne'eman
    Pages 257-264

  18. Steps in the philosophy of quantum theory

    • Th. Görnitz, C. F. v. Weizsäcker
    Pages 265-280
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