English

Semiclassical Analysis of Quasi-Exact Solvability

High Energy Physics - Theory 2009-10-30 v1

Abstract

Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that are central to quasi-exact solvability. These two properties define a new class of semiclassically quasi-exactly solvable potentials.

Keywords

Cite

@article{arxiv.hep-th/9609193,
  title  = {Semiclassical Analysis of Quasi-Exact Solvability},
  author = {C. M. Bender and G. Dunne and M. Moshe},
  journal= {arXiv preprint arXiv:hep-th/9609193},
  year   = {2009}
}

Comments

12 pages, ReVTeX