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Quantum stochastic operator cocycles via associated semigroups.

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Quantum stochastic operator cocycles via associated semigroups. / Lindsay, J. Martin; Wills, S. J.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 142, No. 3, 05.2007, p. 533-556.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lindsay, JM & Wills, SJ 2007, 'Quantum stochastic operator cocycles via associated semigroups.', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 142, no. 3, pp. 533-556. https://doi.org/10.1017/S0305004106009923

APA

Lindsay, J. M., & Wills, S. J. (2007). Quantum stochastic operator cocycles via associated semigroups. Mathematical Proceedings of the Cambridge Philosophical Society, 142(3), 533-556. https://doi.org/10.1017/S0305004106009923

Vancouver

Lindsay JM, Wills SJ. Quantum stochastic operator cocycles via associated semigroups. Mathematical Proceedings of the Cambridge Philosophical Society. 2007 May;142(3):533-556. doi: 10.1017/S0305004106009923

Author

Lindsay, J. Martin ; Wills, S. J. / Quantum stochastic operator cocycles via associated semigroups. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2007 ; Vol. 142, No. 3. pp. 533-556.

Bibtex

@article{50a6de9582e147cbb541816ded46491d,
title = "Quantum stochastic operator cocycles via associated semigroups.",
abstract = "A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give necessary and sufficient conditions for a cocycle to satisfy such an equation.",
author = "Lindsay, {J. Martin} and Wills, {S. J.}",
note = "The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 142 (3), pp 535-556 2007, {\textcopyright} 2007 Cambridge University Press. RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics",
year = "2007",
month = may,
doi = "10.1017/S0305004106009923",
language = "English",
volume = "142",
pages = "533--556",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "1469-8064",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Quantum stochastic operator cocycles via associated semigroups.

AU - Lindsay, J. Martin

AU - Wills, S. J.

N1 - The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 142 (3), pp 535-556 2007, © 2007 Cambridge University Press. RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics

PY - 2007/5

Y1 - 2007/5

N2 - A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give necessary and sufficient conditions for a cocycle to satisfy such an equation.

AB - A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give necessary and sufficient conditions for a cocycle to satisfy such an equation.

U2 - 10.1017/S0305004106009923

DO - 10.1017/S0305004106009923

M3 - Journal article

VL - 142

SP - 533

EP - 556

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 1469-8064

IS - 3

ER -