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
Full text not available from this repository.Abstract
The configuration space and phase space oscillatory path integrals are computed in the case of the stochastic Schr¨odinger 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 |
|---|---|
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 02 Apr 2009 13:57 |
| Last Modified: | 02 Apr 2009 13:57 |
| Status: | Published |
| Publisher: | Korean Mathematical Society |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/6942 |
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