Purely absolutely continuous spectrum for almost Mathieu operators |
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| Authors: | Victor Chulaevsky François Delyon |
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| Affiliation: | (1) Research Computing Center, USSR Academy of Sciences, 142292 Pushchino, Moscow Region, USSR;(2) Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau, France |
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| Abstract: | Using a recent result of Sinai, we prove that the almost Mathieu operators acting onl2( ), (lY,  )(n) = (l+1)+(l–)+ cos( n+ ) (n) have a purely absolutely continuous spectrum for almost all a provided that is a good irrational and is sufficiently small. Furthermore, the generalized eigen-functions are quasiperiodic. |
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| Keywords: | Schrö dinger equation quasiperiodic potential Harper's equation localization |
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