Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations
Mathematical Physics
2015-06-11 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
A correspondence between the sextic anharmonic oscillator and a pair of third-order ordinary differential equations is used to investigate the phenomenon of quasi-exact solvability for eigenvalue problems involving differential operators with order greater than two. In particular, links with Bender-Dunne polynomials and resonances between independent solutions are observed for certain second-order cases, and extended to the higher-order problems.
Keywords
Cite
@article{arxiv.1209.4736,
title = {Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations},
author = {Patrick Dorey and Clare Dunning and Roberto Tateo},
journal= {arXiv preprint arXiv:1209.4736},
year = {2015}
}
Comments
14 pages, Latex