Feynman integrals as Hida distributions: the case of non-perturbative potentials

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dc.creatorGrothaus, Martin
dc.creatorStreit, Ludwig
dc.creatorVogel, Anna
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:40:11Z
dc.date.available2026-07-07T09:40:11Z
dc.descriptionFeynman integrands are constructed as Hida distributions. For our approach we first have to construct solutions to a corresponding Schroedinger equation with time-dependent potential. This is done by a generalization of the Doss approach to time-dependent potentials. This involves an expectation w.r.t. a complex scaled Brownian motion. As examples polynomial potentials of degree $4n+2, n\in\mathbb N,$ and singular potentials of the form $\frac{1}{|x|^n}, n\in\mathbb N$ and $\frac{1}{x^n}, n\in\mathbb N,$ are worked out.
dc.description12 pages, Dedicated to Jean-Michel Bismut as a small token of appreciation
dc.identifierhttps://arxiv.org/abs/0805.3253
dc.identifierhttp://arxiv.org/abs/0805.3253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161405
dc.subjectMathematical Physics
dc.subject60H40
dc.titleFeynman integrals as Hida distributions: the case of non-perturbative potentials
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