Diophantine approximation and the solubility of the Schroedinger equation
Mathematical Physics
2007-05-23 v4 math.MP
Number Theory
Abstract
We characterise the set of periods for which number theoretical obstructions prevent us from finding periodic solutions of the Schroedinger equation on a two dimensional torus as well as the asymptotic occurrence of possible resonances.
Cite
@article{arxiv.math-ph/0210040,
title = {Diophantine approximation and the solubility of the Schroedinger equation},
author = {Simon Kristensen},
journal= {arXiv preprint arXiv:math-ph/0210040},
year = {2007}
}
Comments
7 pages, revised version