Lieb–Thirring Inequalities for Jacobi Matrices

Creators: Hundertmark, Dirk; Simon, Barry

Abstract

For a Jacobi matrix J on ℓ^2(Z_+) with Ju(n)=a_(n−1u)n−1)+b_nu(n)+a -nu(n+1), we prove that∑∣E∣>2(E^2−4)^(1/2)⩽∑n∣b_n∣+4∑n∣a_n−1∣. We also prove bounds on higher moments and some related results in higher dimension.

Additional Information

Additional details

All versions

This version

Views

Downloads

Data volume

0 Bytes