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Irreversibility and Causality Semigroups and Rigged Hilbert Spaces pp 67–81Cite as

Covariant quantum dynamical semigroups: Unbounded generators

  • Dynamical Semigroups Of Open Systems
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Part of the book series: Lecture Notes in Physics ((LNP,volume 504-504))

Abstract

A survey of probabilistic approaches to quantum dynamical semigroups with unbounded generators is given. An emphasis is made upon recent advances in the structural theory of covariant Markovian master equations. As an example, a complete characterizations of the Galilean covariant irreversible quantum Markovian evolutions is given in terms of the corresponding quantum master and Langevin equations. Important topics for future investigation are outlined.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Vavilova 42, 117966, Moscow, Russia

    A. S. Holevo

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  1. A. S. Holevo
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Arno Bohm Heinz-Dietrich Doebner Piotr Kielanowski

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© 1998 Springer-Verlag

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Holevo, A.S. (1998). Covariant quantum dynamical semigroups: Unbounded generators. In: Bohm, A., Doebner, HD., Kielanowski, P. (eds) Irreversibility and Causality Semigroups and Rigged Hilbert Spaces. Lecture Notes in Physics, vol 504-504. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106777

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  • DOI: https://doi.org/10.1007/BFb0106777

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  • Print ISBN: 978-3-540-64305-0

  • Online ISBN: 978-3-540-69725-1

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