Quasi-Periodic Solutions of Heun's Equation
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
By exploiting a recently developed connection between Heun's differential equation and the generalized associated Lam\'e equation, we not only recover the well known periodic solutions, but also obtain a large class of new, quasi-periodic solutions of Heun's equation. Each of the quasi-periodic solutions is doubly degenerate.
Keywords
Cite
@article{arxiv.math-ph/0505077,
title = {Quasi-Periodic Solutions of Heun's Equation},
author = {Avinash Khare and Uday Sukhatme},
journal= {arXiv preprint arXiv:math-ph/0505077},
year = {2007}
}
Comments
13 pages, 0 figures