On the number of eigenvalues of Schr\"odinger operators with complex potentials
Spectral Theory
2016-01-14 v1 Mathematical Physics
math.MP
Abstract
We study the eigenvalues of Schr\"odinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where decays exponentially at infinity.
Keywords
Cite
@article{arxiv.1601.03122,
title = {On the number of eigenvalues of Schr\"odinger operators with complex potentials},
author = {Rupert L. Frank and Ari Laptev and Oleg Safronov},
journal= {arXiv preprint arXiv:1601.03122},
year = {2016}
}
Comments
14 pages