Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices

13Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively) compact. We prove a general result allowing B of indefinite sign and apply it to obtain a (δ V)d / 2 bound for perturbations of suitable periodic Schrödinger operators and a (not quite) Lieb-Thirring bound for perturbations of algebro-geometric almost periodic Jacobi matrices. © 2007 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Hundertmark, D., & Simon, B. (2008). Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices. Journal of Mathematical Analysis and Applications, 340(2), 892–900. https://doi.org/10.1016/j.jmaa.2007.08.059

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free