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Résolution de l'équation de Schrödinger par intégration stochastique du champ magnétique
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  • Published: June 1993

Résolution de l'équation de Schrödinger par intégration stochastique du champ magnétique

  • J. J. Prat1 

Probability Theory and Related Fields volume 95, pages 217–235 (1993)Cite this article

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Summary

We solve the heat equation associated with a Schrödinger operator with magnetic field onR d using a stochastic integral which involves only the magnetic field and does not use any potential of the field. Then we study a particular case on the torusT d to show that our formula is no longer true and that an hypothesis like simple connexity is necessary.

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Authors and Affiliations

  1. U.F.R. 920, Université P. et M. Curie, 4, Place Jussieu, F-75252, Paris Cedex, France

    J. J. Prat

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  1. J. J. Prat
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Prat, J.J. Résolution de l'équation de Schrödinger par intégration stochastique du champ magnétique. Probab. Th. Rel. Fields 95, 217–235 (1993). https://doi.org/10.1007/BF01192271

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  • Received: 06 November 1991

  • Revised: 06 June 1992

  • Issue Date: June 1993

  • DOI: https://doi.org/10.1007/BF01192271

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