English

On the convergence of the usual perturbative expansions

High Energy Physics - Theory 2007-05-23 v1

Abstract

The study of the convergence of power series expansions of energy eigenvalues for anharmonic oscillators in quantum mechanics differs from general understanding, in the case of quasi-exactly solvable potentials. They provide examples of expansions with finite radius and suggest techniques useful to analyze more generic potentials.

Keywords

Cite

@article{arxiv.hep-th/9701108,
  title  = {On the convergence of the usual perturbative expansions},
  author = {G. M. Cicuta},
  journal= {arXiv preprint arXiv:hep-th/9701108},
  year   = {2007}
}

Comments

11 pages, Latex (1 EPS figure included)