Summation formula inequalities for eigenvalues of Schr\"odinger operators
Spectral Theory
2016-05-09 v1
Abstract
We derive inequalities for sums of eigenvalues of Schr\"{o}dinger operators on finite intervals and tori. In the first of these cases, the inequalities converge to the classical trace formulae in the limit as the number of eigenvalues considered approaches infinity.
Keywords
Cite
@article{arxiv.1605.01925,
title = {Summation formula inequalities for eigenvalues of Schr\"odinger operators},
author = {Pedro Freitas and James B. Kennedy},
journal= {arXiv preprint arXiv:1605.01925},
year = {2016}
}
Comments
14 pages; to appear in J. Spectral Theory