English

Estimates of eigenvalues of Schr\"{o}dinger operators on the half-line with complex-valued potentials

Spectral Theory 2015-03-24 v1

Abstract

Estimates for eigenvalues of Schr\"{o}dinger operators on the half-line with complex-valued potentials are established. Schr\"{o}dinger operators with potentials belonging to weak Lebesque's classes are also considered. The results cover those known previously due to R. L. Frank, A. Laptev and R. Seiringer [In spectral theory and analysis, vol. 214, Oper. Theory Adv. Appl., pag. 39-44; Birkh\"{a}user/Springer Basel.]

Keywords

Cite

@article{arxiv.1503.06338,
  title  = {Estimates of eigenvalues of Schr\"{o}dinger operators on the half-line with complex-valued potentials},
  author = {Alexandra Enblom},
  journal= {arXiv preprint arXiv:1503.06338},
  year   = {2015}
}