Discrete-Time Path Distributions on Hilbert Space

Details Discrete-Time Path Distributions on Hilbert Space Discrete-Time Path Distributions on Hilbert Space

2012-02-09

arxiv.org/abs/1202.2033v1

Physics

Mathematical Physics

Scientific paper

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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