Discrete-Time Path Distributions on Hilbert Space
Mathematical Physics
2015-10-30 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1202.2033,
title = {Discrete-Time Path Distributions on Hilbert Space},
author = {Mathieu Beau and T. C. Dorlas},
journal= {arXiv preprint arXiv:1202.2033},
year = {2015}
}