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Stochasticity and irreversibility in infinite mechanical systems

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Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

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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.

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References

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Authors and Affiliations

  1. Dpts of Mathematics and of Physics, University of Rochester, USA

    Gérard G. Emch

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  1. Gérard G. Emch
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G. Dell'Antonio S. Doplicher G. Jona-Lasinio

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© 1978 Springer-Verlag

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Emch, G.G. (1978). Stochasticity and irreversibility in infinite mechanical systems. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_39

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  • DOI: https://doi.org/10.1007/3-540-08853-9_39

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08853-0

  • Online ISBN: 978-3-540-35811-4

  • eBook Packages: Springer Book Archive

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