arXiv:math-ph/0210040 Abstract

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Diophantine approximation and the solubility of the Schroedinger equation

Published 2002-10-22, updated 2003-04-29Version 4

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.

Comments: 7 pages, revised version

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

DOI: 10.1016/S0375-9601(03)00867-3

Categories: math-ph, math.MP, math.NT

Subjects: 81Q05, 11K60

Keywords: schroedinger equation, diophantine approximation, solubility, number theoretical obstructions prevent, finding periodic solutions

Tags: journal article

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