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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 89, 2017 - Issue 6-7: Proceedings of the Hammamet Conference, 19-23 October 2015
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Articles

Solution of the Hudson–Parthasarathy equation by ordered products

Wilhelm von WaldenfelsInstitut Fuer Angewandte Mathematik, Universitaet Heidelberg, Himmelpfort, Germany.Correspondence[email protected]
Pages 818-842 | Received 02 May 2016, Accepted 17 Jun 2016, Published online: 12 Jul 2016
 
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Abstract

The solution of the quantum stochastic differential equation of Hudson and Partasarathy with constant coefficients can easily be formulated with the help of the normal ordered product. Introducing time ordering we obtain a new representation of the solution. This new representation gives an easy access to the Evans-Hudson flow and the unitary condition of Hudson and Parthasarathy. We use the measure theoretical white noise calculus.

Notes

No potential conflict of interest was reported by the authors.

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