Construction of some quantum stochastic operator cocycles by the semigroup method

J. Martin Lindsay; Stephen J. Wills

doi:10.1007/BF02829707

Construction of some quantum stochastic operator cocycles by the semigroup method

J. Martin Lindsay
, Stephen J. Wills

School of Mathematical Sciences

Lancaster University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	519-529
Number of pages	11
Journal	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume	116
Issue number	4
DOIs	https://doi.org/10.1007/BF02829707
Publication status	Published - Nov 2006

Keywords

Contraction semigroup
Quantum probability
Quantum stochastic differential equation
Stochastic cocycle
Trotter-Kato

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10.1007/BF02829707

https://hdl.handle.net/10468/14749Licence: CC BY-NC-ND

Cite this

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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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AU - Wills, Stephen J.

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AB - 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.

KW - Contraction semigroup

KW - Quantum probability

KW - Quantum stochastic differential equation

KW - Stochastic cocycle

KW - Trotter-Kato

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JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

IS - 4

ER -

Construction of some quantum stochastic operator cocycles by the semigroup method

Abstract

Keywords

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