Conditional generalized analytic Feynman integrals and a generalized integral equation

Seung Jun Chang; Soon Ja Kang; David Skoug

doi:10.1155/S0161171200002775

International Journal of Mathematics and Mathematical Sciences (Jan 2000)

Conditional generalized analytic Feynman integrals and a generalized integral equation

Seung Jun Chang,
Soon Ja Kang,
David Skoug

Affiliations

Seung Jun Chang: Department of Mathematics, Dankook University, Cheonan 330-714, Korea
Soon Ja Kang: Department of Mathematical Education, Chonnam National University, Kwangju 500, Korea
David Skoug: Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA

DOI: https://doi.org/10.1155/S0161171200002775
Journal volume & issue: Vol. 23, no. 11
pp. 759 – 776

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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