Communications in Mathematical Physics

, Volume 48, Issue 3, pp 195–197 | Cite as

Heat equation on phase space and the classical limit of quantum mechanical expectation values

  • A. Grossmann
  • R. Seiler


The expectation value of a quantum mechanical operator, taken in coherent states and suitably rescaled, is the solution of an initial value problem for the heat equation on phase space, in which ħ plays the role of time, and the classical observable is the distribution of temperature at ħ=0.


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hepp, K.: Commun. math. Phys.35, 265 (1974)Google Scholar
  2. 2.
    Grossmann, A.: Commun. math. Phys.48, 191–194 (1976)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • A. Grossmann
    • 1
  • R. Seiler
    • 2
  1. 1.Centre de Physique ThéoriqueC.N.R.S.Marseille Cedex 2France
  2. 2.Freie Universität Berlin, FB 20, PhysikBerlin 33

Personalised recommendations