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Classification and decomposition of Quantum Markov Semigroups
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  • Published: 17 August 2005

Classification and decomposition of Quantum Markov Semigroups

  • Veronica Umanità1 

Probability Theory and Related Fields volume 134, pages 603–623 (2006)Cite this article

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Abstract

We show that a QMS on a σ-finite von Neumann algebra can be decomposed as the sum of several ``sub''-semigroups corresponding to transient and recurrent projections. We discuss two applications to physical models.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Genova, Italy

    Veronica Umanità

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  1. Veronica Umanità
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Correspondence to Veronica Umanità.

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Umanità, V. Classification and decomposition of Quantum Markov Semigroups. Probab. Theory Relat. Fields 134, 603–623 (2006). https://doi.org/10.1007/s00440-005-0450-7

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  • Received: 04 June 2004

  • Revised: 08 April 2005

  • Published: 17 August 2005

  • Issue Date: April 2006

  • DOI: https://doi.org/10.1007/s00440-005-0450-7

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Markov Semigroup
  • Quantum Markov Semigroup
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