New solutions to the confluent Heun equation and quasiexact solvability
Mathematical Physics
2013-12-02 v1 math.MP
Abstract
We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional stationary Schr\"{o}dinger equation with hyperbolic and trigonometric quasiexactly solvable potentials.
Keywords
Cite
@article{arxiv.1311.7677,
title = {New solutions to the confluent Heun equation and quasiexact solvability},
author = {Léa Jaccoud El-Jaick and Bartolomeu D. B. Figueiredo},
journal= {arXiv preprint arXiv:1311.7677},
year = {2013}
}