Friday, February 10, 2012

1202.2033 (Mathieu Beau et al.)

Discrete-Time Path Distributions on Hilbert Space    [PDF]

Mathieu Beau, T. C. Dorlas
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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