Embedded eigenvalues of generalized Schr\"odinger operators
Mathematical Physics
2017-09-21 v1 math.MP
Spectral Theory
Abstract
We provide examples of operators with decaying potentials that have embedded eigenvalues. The decay of the potential depends on the curvature of the Fermi surfaces of constant kinetic energy . We make the connection to counterexamples in Fourier restriction theory.
Cite
@article{arxiv.1709.06989,
title = {Embedded eigenvalues of generalized Schr\"odinger operators},
author = {Jean-Claude Cuenin},
journal= {arXiv preprint arXiv:1709.06989},
year = {2017}
}
Comments
18 pages; comments welcome