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Symplectic Group, Quantum Mechanics and Anosov’s Systems

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Dynamical Systems and Microphysics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 261))

Abstract

Dirac’s canonical quantization is studied in the general framework of symplectic Mechanics. Existence and uniqueness of such a quantization are investigated. Particular attention is paid to R2n: in particular it is proved that there is only one canonical quantization which recovers the usual spectrum of the harmonic oscillator.

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Author information

Authors and Affiliations

  1. Département de Mécanique, Université Paris VI, 2 Place Jussieu, 75005, Paris, France

    André Avez

Authors
  1. André Avez
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Editor information

Editors and Affiliations

  1. Laboratoire d’Automatique Théorique, Université de Paris VII, 2 Place Jussieu, 75009, Paris, France

    A. Blaquiére

  2. Ecole des Mines, 60 Bld. Saint-Michel, 75006, Paris, France

    F. Fer

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© 1980 Springer-Verlag Wien

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Avez, A. (1980). Symplectic Group, Quantum Mechanics and Anosov’s Systems. In: Blaquiére, A., Fer, F., Marzollo, A. (eds) Dynamical Systems and Microphysics. International Centre for Mechanical Sciences, vol 261. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4330-8_20

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  • DOI: https://doi.org/10.1007/978-3-7091-4330-8_20

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81533-5

  • Online ISBN: 978-3-7091-4330-8

  • eBook Packages: Springer Book Archive

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