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
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.
Metadata
Authors/Creators: |
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Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (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 |
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