Analytic continuation of eigenvalues of the Lam\'e operator
Classical Analysis and ODEs
2007-05-23 v5 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Eigenvalues of the Lam\'e operator are studied as complex-analytic functions in period of an elliptic function. We investigate the branching of eigenvalues numerically and clarify the relationship between the branching of eigenvalues and the convergent radius of a perturbation series.
Cite
@article{arxiv.math/0311307,
title = {Analytic continuation of eigenvalues of the Lam\'e operator},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0311307},
year = {2007}
}
Comments
15 pages