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Irreversibility and Dissipativity of Quantum Systems

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Cooperative Phenomena
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Abstract

We review some basic properties of the general collision operator as defined in our theory and its relation to the invariants of the motion of a large quantum system. The necessity of the dissipativity condition is shown for the possibility of kinetic description where the L · t-invariance of the von Neumann equation is broken. We illustrate this condition by a number of simple models where the collision operator can be calculated in a rigorous (non-perturbative) way.

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© 1973 Springer-Verlag Berlin Heidelberg

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Prigogine, I., Grecos, A.P. (1973). Irreversibility and Dissipativity of Quantum Systems. In: Haken, H., Wagner, M. (eds) Cooperative Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86003-4_32

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  • DOI: https://doi.org/10.1007/978-3-642-86003-4_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86005-8

  • Online ISBN: 978-3-642-86003-4

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