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    • Construction of some quantum stochastic operator cocycles by the semigroup method

      J Martin Lindsay Stephen J Wills

      Non-commutative Probability Theory Volume 116 Issue 4 November 2006 pp 519-529

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/116/04/0519-0529

    • Keywords

       

      Quantum probability; stochastic cocycle; quantum stochastic differential equation; contraction semigroup; Trotter-Kato

    • Abstract

       

      A new method for the construction of Fock-adapted quantum stochastic operator cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.

    • Author Affiliations

       

      J Martin Lindsay1 Stephen J Wills2

      1. Department of Mathematics and Statistics, Lancaster University, Lancaster - LA1 4YF, UK
      2. School of Mathematical Sciences, University College Cork, Cork, Ireland

    • Dates

       
      Published
      November 2006

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