Construction of some quantum stochastic operator cocycles by the semigroup method
JM Lindsay, SJ Wills - Proceedings of the Indian Academy of Sciences …, 2006 - Springer
JM Lindsay, SJ Wills
Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 2006•SpringerA 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.
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.
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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