Notes on the Feynman integral. I

Gerald William Johnson and David Lee Skoug

Vol. 93 (1981), No. 2, 313–324

DOI: 10.2140/pjm.1981.93.313

Abstract

We extend somewhat and simplify substantially some of the recent work of Cameron and Storvick involving the analytic Feynman integral of certain functions on Wiener space of the form F(x) = exp{∫ _a^b𝜃(t,x(t))dt}; here 𝜃 is a Complex-valued function on (a,b] ×R and x is an element of Wiener space, that is, a continuous function on [a,b] which vanishes at a.

Mathematical Subject Classification 2000

Primary: 81C35, 81C35

Secondary: 28B05, 58D30, 49G99

Milestones

Received: 26 October 1979

Published: 1 April 1981