Communications in Mathematical Physics

, Volume 101, Issue 2, pp 173–185 | Cite as

Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows

  • Ph. Blanchard
  • M. Sirugue


We prove that in the limit→0, the probability for the paths of the stochastic jump process associated to the quantum time evolution to be in a tublet around the classical trajectory is of order 1−exp{−A/ℏ}. We give some applications of this result to the study of the classical limit of Wigner functions.


Neural Network Statistical Physic Complex System Time Evolution Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Ph. Blanchard
    • 1
  • M. Sirugue
    • 2
  1. 1.Theoretische PhysikUniversität BielefeldBielefeld 1Federal Republic of Germany
  2. 2.Zentrum für interdisziplinäre ForschungUniversität BielefeldBielefeld 1Federal Republic of Germany

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