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

Lindsay, J. Martin and Wills, Stephen J. (2006) Construction of some quantum stochastic operator cocycles by the semigroup method. Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 116 (4 Issu). pp. 519-529. ISSN 0253-4142

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Abstract

A new method for the construction of Fock-adapted operator Markovian 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.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the Indian Academy of Sciences (Mathematical Sciences)

Additional Information:

The original publication is available at www.springerlink.com

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600

Subjects:

?? quantum probabilitystochastic cocyclequantum stochastic differential equationcontraction semigrouptrotter–kato.mathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

34523

Deposited By:

Professor J. Martin Lindsay

Deposited On:

22 Nov 2010 09:47

Refereed?:

Yes

Published?:

Published

Last Modified:

21 Apr 2024 00:08

URI:

https://eprints.lancs.ac.uk/id/eprint/34523