Discrete-Time Path Distributions on Hilbert Space (1202.2033v2)

Published 9 Feb 2012 in math-ph, math.FA, and math.MP

Abstract: We construct a path distribution representing the kinetic part of the Feynman path integral at discrete times similar to that defined by Thomas [1], but on a Hilbert space of paths rather than a nuclear sequence space. We also consider different boundary conditions and show that the discrete-time Feynman path integral is well-defined for suitably smooth potentials.

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