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The Ehrenfest theorem for Markov diffusions. (English) Zbl 0865.60097
Haba, Zbigniew (ed.) et al., Stochasticity and quantum chaos. Proceedings of the 3rd Max Born Symposium, Sobótka Castle, Poland, September 15-17, 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 317, 57-62 (1995).
Summary: The transformation connecting transition densities of the diffusion process with the respective Feynman-Kac kernels induces the local field of accelerations which equals the gradient of the Feynman-Kac potential and becomes the straightforward analog of the Ehrenfest theorem.
For the entire collection see [Zbl 0823.00026].
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B05 Classical equilibrium statistical mechanics (general)