Boundary conditions, symmetry breakdown and Feynman path integral

Chung-Ru Lee

Chung-Ru Lee

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.

Sergio A Albeverio, Raphael J. Høegh-Krohn, Guy Rideau +3 more

Pavel Exner

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.