A new Levinson's theorem for potentials with critical decay
Spectral Theory
2010-07-14 v1 Mathematical Physics
math.MP
Abstract
We study the low-energy asymptotics of the spectral shift function for Schr\"odinger operators with potentials decaying like . We prove a generalized Levinson's for this class of potentials in presence of zero eigenvalue and zero resonance.
Cite
@article{arxiv.1007.1608,
title = {A new Levinson's theorem for potentials with critical decay},
author = {Xiaoyao Jia and François Nicoleau and Xue Ping Wang},
journal= {arXiv preprint arXiv:1007.1608},
year = {2010}
}
Comments
39 pp