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.

Item Type: | Article |
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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 |