Finite-gap potential, Heun's differential equation and WKB analysis
Classical Analysis and ODEs
2007-05-23 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review several results on the finite-gap potential and Heun's differential equation, and we discuss relationships among the finite-gap potential, the WKB analysis and Heun's differential equation.
Cite
@article{arxiv.math/0703256,
title = {Finite-gap potential, Heun's differential equation and WKB analysis},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0703256},
year = {2007}
}
Comments
12 pages, An extended version of talk given at "Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations", RIMS, Kyoto, December 2006