Generalized Borel Transform Technique in Quantum Mechanics
High Energy Physics - Theory
2016-08-16 v1
Abstract
We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.
Keywords
Cite
@article{arxiv.hep-th/0208164,
title = {Generalized Borel Transform Technique in Quantum Mechanics},
author = {L. N. Epele and H. Fanchiotti and C. A. García Canal and M. Marucho},
journal= {arXiv preprint arXiv:hep-th/0208164},
year = {2016}
}
Comments
13 pages, 2 figures