Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue
Mathematical Physics
2016-02-02 v1 math.MP
Abstract
By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.
Cite
@article{arxiv.1307.5141,
title = {Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue},
author = {R. G. Novikov and I. A. Taimanov and S. P. Tsarev},
journal= {arXiv preprint arXiv:1307.5141},
year = {2016}
}
Comments
4 pages