Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials
Spectral Theory
2015-09-29 v1
Abstract
We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely many discrete eigenvalues, we compute precise asymptotics of the number of eigenvalues below a given energy E as this energy tends to the bottom of the essential spectrum.
Keywords
Cite
@article{arxiv.math/0509110,
title = {Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials},
author = {David Damanik and Gerald Teschl},
journal= {arXiv preprint arXiv:math/0509110},
year = {2015}
}
Comments
4 pages