Communications in Mathematical Physics

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

Parity operator and quantization of δ-functions

  • A. Grossmann


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.


Neural Network Statistical Physic Phase Space Complex System Nonlinear Dynamics 
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  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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