A Rigorous Real Time Feynman Path Integral
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
Using improper Riemann integrals, we will formulate a rigorous version of the real-time, time-sliced Feynman path integral for the transition probability amplitude. We will do this for nonvector potential Hamiltonians with potential which has at most a finite number of discontinuities and singularities. We will also provide a Nonstandard Analysis version of our formulation.
Keywords
Cite
@article{arxiv.math-ph/0012014,
title = {A Rigorous Real Time Feynman Path Integral},
author = {Ken Loo},
journal= {arXiv preprint arXiv:math-ph/0012014},
year = {2007}
}