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Communications in Mathematical Physics

, Volume 48, Issue 3, pp 191–194 | Cite as

Parity operator and quantization of δ-functions

  • A. Grossmann
Article

Abstract

In the Weyl quantization scheme, the δ-function at the origin of phase space corresponds to the parity operator. The quantization of a functionf(υ) on phase space is the operator εf(υ/2)W(υ)dυM, whereM is the parity andW(υ) the Weyl operator.

Keywords

Neural Network Statistical Physic Phase Space Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Pool, J. C. T.: J. Math. Phys.7, 66 (1966)Google Scholar
  2. 2.
    Grossmann, A., Loupias, G., Stein, E. M.: Ann. Inst. Fourier18, 343 (1968)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • A. Grossmann
    • 1
  1. 1.Centre de Physique ThéoriqueC.N.R.S.Marseille Cedex 2France

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