Construction of some quantum stochastic operator cocycles by the semigroup method |
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| Authors: | J Martin Lindsay Stephen J Wills |
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| Institution: | (1) Department of Mathematics and Statistics, Lancaster University, LA1 4YF Lancaster, UK;(2) School of Mathematical Sciences, University College Cork, Cork, Ireland |
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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.
In celebration of Kalyan Sinha’s sixtieth birthday |
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| Keywords: | Quantum probability stochastic cocycle quantum stochastic differential equation contraction semigroup Trotter-Kato |
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