Covariant quantum dynamical semigroups: Unbounded generators View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

1998

AUTHORS

A. S. Holevo

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. More... »

PAGES

67-81

References to SciGraph publications

  • 1990. An analog of the Ito decomposition for multiplicative processes with values in a Lie group in QUANTUM PROBABILITY AND APPLICATIONS V
  • 1976-06. On the generators of quantum dynamical semigroups in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1991-10. Necessary and sufficient conditions for conservativeness of dynamical semigroups in JOURNAL OF SOVIET MATHEMATICS
  • 1996-12. On dissipative stochastic equations in a Hilbert space in PROBABILITY THEORY AND RELATED FIELDS
  • Book

    TITLE

    Irreversibility and Causality Semigroups and Rigged Hilbert Spaces

    ISBN

    978-3-540-64305-0
    978-3-540-69725-1

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bfb0106777

    DOI

    http://dx.doi.org/10.1007/bfb0106777

    DIMENSIONS

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