[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2004.41.2.319

CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS

Chung, Dong-Myung (Department of Mathematic Sogang University)
Kang, Soon-Ja (Department of Mathematics Education Chonnam National University)
Lim, Kyung-Pil (Department of Mathematics Sogang University)

Publication Information

Journal of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 319-344 More about this Journal

Abstract

In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes $A^{q}$ (B) and $A^{q}$ (H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.

Keywords

Feynman integrals; conditional analytic Feynman integral; abstract Wiener space; lifting; fundamental solution.;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)

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