Classical and quantic periodic motions of multiply polarized spin-particles

書誌事項

Classical and quantic periodic motions of multiply polarized spin-particles

Abbas Bahri

(Pitman research notes in mathematics series, 378)

Addison Wesley Longman, 1998

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注記

Bibliography: p. 325-326

内容説明・目次

内容説明

:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.

目次

Introduction Technical Construction of a Diffusion Flow and Convergence Theorems The Variational Problem at Infinity The Underlying Variational Space The Classical Periodic Motions Appendix 1: Some Technical Justifications Appendix 2: The Dynamics of a (see symbol) along v (see symbol): Basic Computations Appendix 3: Some Additional Remarks About the Physical Interpretation, Two Mathematical Conjectures Appendix 4: How to Take Care of the Problem of the Small Normals References

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詳細情報

  • NII書誌ID(NCID)
    BA33970334
  • ISBN
    • 0582327490
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Harlow, Essex
  • ページ数/冊数
    326 p.
  • 大きさ
    25 cm
  • 分類
  • 親書誌ID
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