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Stochasticity and irreversibility in infinite mechanical systems

  • Gérard G. Emch
Short Communications
Part of the Lecture Notes in Physics book series (LNP, volume 80)

Abstract

The concepts of KoZmogorov entropy and Kolmogorov flows are extended to quantum dynamical systems described in the language of von Neumann algebras. This generalization carries over to the quantum realm the result that the entropy of non-singular K-flows is strictly positive ; in particular, this entropy is again infinite for the quantum generalization of the flow of Brownian motion.

Keywords

Measurable Partition Hilbert Algebra Dynamical Entropy Kolmogorov Entropy Quantum Generalization 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Gérard G. Emch
    • 1
  1. 1.Dpts of Mathematics and of PhysicsUniversity of RochesterUSA

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