Spectral parameter power series representation for Hill's discriminant
Mathematical Physics
2010-10-19 v4 math.MP
Abstract
We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance of the Hill discriminant under a Darboux transformation and employing the Mathieu case the feasibility of this type of series for numerical calculations of the eigenspectrum
Cite
@article{arxiv.1002.1514,
title = {Spectral parameter power series representation for Hill's discriminant},
author = {K. V. Khmelnytskaya and H. C. Rosu},
journal= {arXiv preprint arXiv:1002.1514},
year = {2010}
}
Comments
13 pages, 2 figures, 19 references with titles, a few minor changes in the text