Simplicity of extremal eigenvalues of the Klein-Gordon equation
Mathematical Physics
2014-10-21 v1 math.MP
Abstract
We consider the spectral problem associated with the Klein-Gordon equation for unbounded electric potentials. If the spectrum of this problem is contained in two disjoint real intervals and the two inner boundary points are eigenvalues, we show that these extremal eigenvalues are simple and possess strictly positive eigenfunctions. Examples of electric potentials satisfying these assumptions are given.
Keywords
Cite
@article{arxiv.1008.2469,
title = {Simplicity of extremal eigenvalues of the Klein-Gordon equation},
author = {Mario Koppen and Christiane Tretter and Monika Winklmeier},
journal= {arXiv preprint arXiv:1008.2469},
year = {2014}
}