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Abstract: A generalized Feynman-Kac formula based on the Wiener measure is presented. Within the setting for a non-relativistic quantum particle in an electromagnetic field it yields the standard Feynman-Kac formula for the corresponding Schrödinger semigroup. In this case rigorous criteria for its validity are compiled. Finally, phase-space path-integral representations for more general quantum Hamiltonians are derived. These representations rely on a generalized Lie-Trotter formula which takes care of... (Update)
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BibTeX entry: (Update)
@misc{ bodmann-wiener,
author = "Bernhard Bodmann and Hajo Leschke and Simone Warzel",
title = "Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac
formula",
url = "citeseer.ist.psu.edu/bodmann96wiener.html" }
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