Perturbation theory for short-range weakly-attractive potentials in one dimension
Quantum Physics
2017-04-05 v1
Abstract
We have obtained the perturbative expressions up to sixth order for the energy of the bound state in a one dimensional, arbitrarily weak, short range finite well, applying a method originally developed by Gat and Rosenstein Ref. [3]. The expressions up to fifth order reproduce the results already known in the literature, while the sixth order had not been calculated before. As an illustration of our formulas we have applied them to two exactly solvable problems and to a nontrivial problem.
Cite
@article{arxiv.1610.02682,
title = {Perturbation theory for short-range weakly-attractive potentials in one dimension},
author = {Paolo Amore and Francisco M. Fernández},
journal= {arXiv preprint arXiv:1610.02682},
year = {2017}
}
Comments
12 pages, 1 figure