International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 11, Pages 759-776
doi:10.1155/S0161171200002775
Conditional generalized analytic Feynman integrals and a generalized integral equation
Seung Jun Chang1
, Soon Ja Kang2
and David Skoug3
1Department of Mathematics, Dankook University, Cheonan 330-714, Korea
2Department of Mathematical Education, Chonnam National University, Kwangju 500, Korea
3Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln 68588-0323, NE, USA
Abstract
We use a generalized Brownian motion process to define a generalized Feynman integral and a conditional generalized Feynman integral. We then establish the existence of these integrals for various functionals. Finally we use the conditional generalized Feynman integral to derive a Schrödinger integral equation.