Notes on the Feynman integral. III. The Schroedinger equation

Abstract

In the setting of Cameron and Storvick's recent theory we show that the solution of an integral equation formally equivalent to the Schroedinger equation is expressible as the analytic Feynman integral of a function on ^-dimensional Wiener space of the form F(X) = exp{/ o '0(s, X(s) + I) ds}(X(t\+ ?). Here Xis an Revalued continuous function on [0, /] such that Z(0) = 0, ? G R\ and and (s, ) are Fourier-Stieltjes transforms.