半直线上具有复值势的薛定谔算子特征值的估计
谱理论
2015-03-24 v1
摘要
建立了半直线上具有复值势的薛定谔算子特征值的估计。还考虑了势函数属于弱 Lebesgue 类的薛定谔算子。这些结果涵盖了 R. L. Frank、A. Laptev 和 R. Seiringer [In spectral theory and analysis, vol. 214, Oper. Theory Adv. Appl., pag. 39-44; Birkh"{a}user/Springer Basel.] 此前已知的结果。
引用
@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}
}