$L_p$-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane
Spectral Theory
2019-07-24 v1 Mathematical Physics
math.MP
Abstract
This paper deals with the -spectrum of Schr\"odinger operators on the hyperbolic plane. We establish Lieb-Thirring type inequalities for discrete eigenvalues and study their dependence on . Some bounds on individual eigenvalues are derived as well.
Keywords
Cite
@article{arxiv.1810.00733,
title = {$L_p$-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane},
author = {Marcel Hansmann},
journal= {arXiv preprint arXiv:1810.00733},
year = {2019}
}