Feynman integrals for nonsmooth and rapidly growing potentials

de Faria, M, Oliveira, MJ, Ludwig Streit

Published Jan 1, 2005• 12 citations

Abstract

The Feynman integral for the Schrodinger propagator is constructed as a generalized function of white noise, for a linear space of potentials spanned by finite (signed) measures of bounded support and Laplace transforms of such measures, i.e., locally singular as well as rapidly growing at infinity. Remarkably, all these propagators admit a perturbation expansion. (C) 2005 American Institute of Physics.

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