Diophantine approximation and the solubility of the Schroedinger equation
arXiv:math-ph/0210040 · doi:10.1016/S0375-9601(03)00867-3
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.
7 pages, revised version