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Applications of white noise calculus to the computation of Feynman integrals

Author

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  • de Falco, Diego
  • Khandekar, Dinkar C.

Abstract

We apply white noise calculus to the computation, according to the rigorous definitions given by T. Hida and L. Streit, of Feynman path integrals. More precisely, we show how the Feynman propagator in a uniform magnetic field can be explicitly computed in terms of P. Lévy's stochastic area spanned by two-dimensional Brownian motion. By the same technique we also compute the propagator for a quadratic non local action of relevance in some approximate calculations of quantum motion in the field of randomly located scatterers.

Suggested Citation

  • de Falco, Diego & Khandekar, Dinkar C., 1988. "Applications of white noise calculus to the computation of Feynman integrals," Stochastic Processes and their Applications, Elsevier, vol. 29(2), pages 257-266, September.
    • Handle: RePEc:eee:spapps:v:29:y:1988:i:2:p:257-266
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    Cited by:

    1. Butanas, Bienvenido M. & Esguerra, Jose Perico H., 2022. "Brownian motion of charged particle in oblique electric and magnetic fields with frictional anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Markussen, Bo, 2009. "Laplace approximation of transition densities posed as Brownian expectations," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 208-231, January.

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