2005•Integral Transforms and Special FunctionsRequires access

Integral transform as operator-valued Feynman integrals via conditional Feynman integrals over Wiener paths in abstract Wiener space

Dong Hyun Cho

Abstract

In this article, we introduce an integral transform as operator-valued Feynman integrals over Wiener paths in abstract Wiener space. In addition, we evaluate the integral transform for various types of functions, which are of interest in quantum mechanics and Feynman integration theories, via the conditional Feynman integral over Wiener paths in abstract Wiener space as a kernel.

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Key concepts: Integral representation theorem for classical Wiener space, Classical Wiener space, Mathematics, Feynman integral, Functional integration, Feynman diagram, Integral transform, Operator (biology)