Obtaining Bounds on The Sum of Divergent Series in Physics
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
General Mathematics
math.MP
Abstract
Under certain circumstances, some of which are made explicit here, one can deduce bounds on the full sum of a perturbation series of a physical quantity by using a variational Borel map on the partial series. The method is illustrated by applying it to various examples, physical and mathematical.
Cite
@article{arxiv.math-ph/0211064,
title = {Obtaining Bounds on The Sum of Divergent Series in Physics},
author = {Rajesh R. Parwani},
journal= {arXiv preprint arXiv:math-ph/0211064},
year = {2009}
}
Comments
33 pages, Journal Version