Estimates for eigenvalues of the Schr\"odinger operator with a complex potential
Mathematical Physics
2014-02-26 v1 math.MP
Spectral Theory
Abstract
We study the distribution of eigenvalues of the Schr\"odinger operator with a complex valued potential . We prove that if decays faster than the Coulomb potential, then all eigenvalues are in a disc of a finite radius.
Keywords
Cite
@article{arxiv.0902.3950,
title = {Estimates for eigenvalues of the Schr\"odinger operator with a complex potential},
author = {Oleg Safronov},
journal= {arXiv preprint arXiv:0902.3950},
year = {2014}
}