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Title The Hamiltonian path integral for potentials of the Albeverio Høegh–Krohn class—a white noise approach
Posted by Wolfgang Bock
Authors Bock, Wolfgang; Capraro, Patrick
Publication date 2017/02
Journal Reports on Mathematical Physics
Volume 79
Issue 1
Pages 89-109
Publisher Elsevier
Abstract We identify the integrand for the Hamiltonian path integral in space representation as a Kondratiev distribution. For this purpose we use methods from white noise analysis to compute also the Green's function of the underlying Schrödinger equation. We show that its generalized expectation solves the Schrödinger equation and that a functional form of the canonical commutation realtions is fulfilled.