The Feynman integral as a limit of complex measures
Mathematical Physics
2009-06-09 v1 math.MP
Abstract
The fundamental solution of the Schr\"odinger equation for a free particle is a distribution. This distribution can be approximated by a sequence of smooth functions. It is defined for each one of these functions, a complex measure on the space of paths. For certain test functions, the limit of the integrals of a test function with respect to the complex measures, exists. We define the Feynman integral of one such function by this limit.
Keywords
Cite
@article{arxiv.0906.1230,
title = {The Feynman integral as a limit of complex measures},
author = {Jose L. Martinez-Morales},
journal= {arXiv preprint arXiv:0906.1230},
year = {2009}
}
Comments
21 pages