Abstract
We define and analyze the rotation number for the almost periodic Schrödinger operatorL= −d 2/dx 2+q(x). We use the rotation number to discuss (i) the spectrum ofL; (ii) its relation to the Korteweg-de Vries equation.
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Communicated by A. Jaffe
Partially supported by the National Science Foundation under Grant NSF-MCS 77-01986
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Johnson, R., Moser, J. The rotation number for almost periodic potentials. Commun.Math. Phys. 84, 403–438 (1982). https://doi.org/10.1007/BF01208484
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DOI: https://doi.org/10.1007/BF01208484