Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials
Mathematical Physics
2015-02-26 v1 math.MP
Spectral Theory
Abstract
An explicit construction is provided for embedding n positive eigenvalues in the spectrum of a Schroedinger operator on the half-line with a Dirichlet boundary condition at the origin. The resulting potential is of von Neumann-Wigner type, but can be real valued as well as complex valued.
Cite
@article{arxiv.1502.07107,
title = {Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials},
author = {S. Richard and J. Uchiyama and T. Umeda},
journal= {arXiv preprint arXiv:1502.07107},
year = {2015}
}
Comments
8 pages