Lieb-Thirring Inequalities for Complex Finite Gap Jacobi Matrices
Spectral Theory
2017-09-25 v2 Mathematical Physics
math.MP
Abstract
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap Jacobi matrices.
Cite
@article{arxiv.1609.09812,
title = {Lieb-Thirring Inequalities for Complex Finite Gap Jacobi Matrices},
author = {Jacob S. Christiansen and Maxim Zinchenko},
journal= {arXiv preprint arXiv:1609.09812},
year = {2017}
}