A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials

Rupert L. Frank; Ari Laptev; Robert Seiringer

A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials

Spectral Theory 2010-06-07 v2 Mathematical Physics math.MP

Authors: Rupert L. Frank , Ari Laptev , Robert Seiringer

Abstract

We derive a sharp bound on the location of non-positive eigenvalues of Schroedinger operators on the halfline with complex-valued potentials.

Keywords

magnetic schrödinger operator schrödinger operators schrödinger equation

Cite

@article{arxiv.0903.2053,
  title  = {A sharp bound on eigenvalues of Schroedinger operators on the halfline with complex-valued potentials},
  author = {Rupert L. Frank and Ari Laptev and Robert Seiringer},
  journal= {arXiv preprint arXiv:0903.2053},
  year   = {2010}
}