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Stochastic Mehler kernels via oscillatory path integrals

Truman, A. and Zastawniak, T.J. (2001) Stochastic Mehler kernels via oscillatory path integrals. Journal of the Korean Mathematical Society, 38 (2). pp. 469-483. ISSN 0304-9914

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Abstract

The configuration space and phase space oscillatory path integrals are computed in the case of the stochastic Schrödinger equation for the harmonic oscillator with a stochastic term of the form (K t)(x) dWt, where K is either the position operator or the momentum operator, and Wt is the Wiener process. In this way formulae are derived for the stochastic analogues of the Mehler kernel.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 02 Apr 2009 13:57
Last Modified: 19 Sep 2013 16:07
Status: Published
Publisher: Korean Mathematical Society
URI: http://eprints.whiterose.ac.uk/id/eprint/6942

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