Estimates for eigenvalues of Schr\"{o}dinger operators with complex-valued potentials
Spectral Theory
2016-02-17 v1
Abstract
New estimates for eigenvalues of non-self-adjoint multi-dimensional Schr\"{o}dinger operators are obtained in terms of -norms of the potentials. The results extend and improve those obtained previously. In particular, diverse versions of an assertion conjectured by Laptev and Safronov are discussed. Schr\"{o}dinger operators with slowly decaying potentials are also considered.
Cite
@article{arxiv.1503.06337,
title = {Estimates for eigenvalues of Schr\"{o}dinger operators with complex-valued potentials},
author = {Alexandra Enblom},
journal= {arXiv preprint arXiv:1503.06337},
year = {2016}
}