Diophantine approximation and the solubility of the Schroedinger equation

Details Diophantine approximation and the solubility of the Schroedinger equation Diophantine approximation and the solubility of the Schroedinger equation

2002-10-22

arxiv.org/abs/math-ph/0210040v4

Physics Letters A, Volume 314, Issues 1-2 , 21 July 2003 , Pages 15-18

Physics

Mathematical Physics

7 pages, revised version

Scientific paper

10.1016/S0375-9601(03)00867-3

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.

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