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

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Construction of some quantum stochastic operator cocycles by the semigroup method. / Lindsay, J. Martin; Wills, Stephen J.
In: Proceedings of the Indian Academy of Sciences (Mathematical Sciences), Vol. 116, No. 4 Issu, 11.2006, p. 519-529.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lindsay, JM & Wills, SJ 2006, 'Construction of some quantum stochastic operator cocycles by the semigroup method.', Proceedings of the Indian Academy of Sciences (Mathematical Sciences), vol. 116, no. 4 Issu, pp. 519-529. https://doi.org/10.1007/BF02829707

APA

Lindsay, J. M., & Wills, S. 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), 519-529. https://doi.org/10.1007/BF02829707

Vancouver

Lindsay JM, Wills SJ. Construction of some quantum stochastic operator cocycles by the semigroup method. Proceedings of the Indian Academy of Sciences (Mathematical Sciences). 2006 Nov;116(4 Issu):519-529. doi: 10.1007/BF02829707

Author

Lindsay, J. Martin ; Wills, Stephen J. / Construction of some quantum stochastic operator cocycles by the semigroup method. In: Proceedings of the Indian Academy of Sciences (Mathematical Sciences). 2006 ; Vol. 116, No. 4 Issu. pp. 519-529.

Bibtex

@article{a1b17690e5354ae7806bcbed392cbcd7,
title = "Construction of some quantum stochastic operator cocycles by the semigroup method.",
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.",
keywords = "Quantum probability, stochastic cocycle, quantum stochastic differential equation, contraction semigroup, Trotter–Kato.",
author = "Lindsay, {J. Martin} and Wills, {Stephen J.}",
note = "The original publication is available at www.springerlink.com",
year = "2006",
month = nov,
doi = "10.1007/BF02829707",
language = "English",
volume = "116",
pages = "519--529",
journal = "Proceedings of the Indian Academy of Sciences (Mathematical Sciences)",
issn = "0253-4142",
publisher = "Indian Academy of Sciences",
number = "4 Issu",

}

RIS

TY - JOUR

T1 - Construction of some quantum stochastic operator cocycles by the semigroup method.

AU - Lindsay, J. Martin

AU - Wills, Stephen J.

N1 - The original publication is available at www.springerlink.com

PY - 2006/11

Y1 - 2006/11

N2 - 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.

AB - 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.

KW - Quantum probability

KW - stochastic cocycle

KW - quantum stochastic differential equation

KW - contraction semigroup

KW - Trotter–Kato.

U2 - 10.1007/BF02829707

DO - 10.1007/BF02829707

M3 - Journal article

VL - 116

SP - 519

EP - 529

JO - Proceedings of the Indian Academy of Sciences (Mathematical Sciences)

JF - Proceedings of the Indian Academy of Sciences (Mathematical Sciences)

SN - 0253-4142

IS - 4 Issu

ER -