Vol. 105, No. 2, 1983

Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Notes on the Feynman integral. III. The Schroedinger equation

Gerald William Johnson and David Lee Skoug

Vol. 105 (1983), No. 2, 321–358
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 ν-dimensional Wiener space of the form F(X) = exp{ 0t𝜃(t s,X(s) + ξ)ds}ψ(X(t) + ξ). Here X is an Rν-valued continuous function on [0,t] such that X(0) = 0, ξ Rν, and ψ and 𝜃(s,) are Fourier-Stieltjes transforms.

Mathematical Subject Classification 2000
Primary: 81C35, 81C35
Secondary: 28B05, 46G99, 58D30
Milestones
Received: 10 June 1981
Revised: 26 August 1981
Published: 1 April 1983
Authors
Gerald William Johnson
David Lee Skoug