Applications of white noise calculus to the computation of Feynman integrals

AbstractWe 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