On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals
Mathematical Physics
2020-04-14 v1 math.MP
Abstract
In the first part of the paper we provide a survey of recent results concerning the problem of pointwise convergence of integral kernels in Feynman path integral, obtained by means of time-frequency analysis techniques. We then focus on exceptional times, where the previous results do not hold, and we show that weaker forms of convergence still occur. In conclusion we offer some clues about possible physical interpretation of exceptional times.
Keywords
Cite
@article{arxiv.2004.06017,
title = {On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals},
author = {Hans G. Feichtinger and Fabio Nicola and S. Ivan Trapasso},
journal= {arXiv preprint arXiv:2004.06017},
year = {2020}
}
Comments
18 pages