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Construction of some quantum stochastic operator cocycles by the semigroup method

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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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Lancaster University, LA1 4YF, Lancaster, UK

    J. Martin Lindsay

  2. School of Mathematical Sciences, University College Cork, Cork, Ireland

    Stephen J. Wills

Authors
  1. J. Martin Lindsay
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  2. Stephen J. Wills
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Correspondence to J. Martin Lindsay.

Additional information

In celebration of Kalyan Sinha’s sixtieth birthday

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Lindsay, J.M., Wills, S.J. Construction of some quantum stochastic operator cocycles by the semigroup method. Proc. Indian Acad. Sci. (Math. Sci.) 116, 519–529 (2006). https://doi.org/10.1007/BF02829707

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