A Feynman-Kac Formula for Unbounded Semigroups

dc.creatorSimon, Barry
dc.date1999-07-27
dc.date.accessioned2026-07-07T04:32:53Z
dc.date.available2026-07-07T04:32:53Z
dc.descriptionWe prove a Feynman-Kac formula for Schrodinger operators with potentials V(x) that obey (for all ε> 0): V(x) \geq - ε|x|^2 - C_ε. Even though e^{-tH} is an unbounded operator, any ϕ, ψ\in L^2 with compact support lie in D(e^{-tH}) and <ϕ, e^{-tH}ψ> is given by a Feynman-Kac formula.
dc.description5 pages, LaTeX. To appear in Proc. Intl. Conf. on Infinite Dimensional (Stochastic) Analysis and Quantum Physics, Leipzig 1999
dc.identifierhttps://arxiv.org/abs/math-ph/9907022
dc.identifierhttp://arxiv.org/abs/math-ph/9907022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58364
dc.subjectMathematical Physics
dc.subject81S40, 47D08 (Primary) 60J65 (Secondary)
dc.titleA Feynman-Kac Formula for Unbounded Semigroups
dc.typetext

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