Abstract
We prove that the spectrum defined in terms of the autocorrelation function of a harmonic subject to a quasiperiodic perturbation, is, at resonance, transient absolutely continuous, covering the whole line. In the nonresonant case, and under some supplementary Diophantine condition, it is pure point, coinciding with the spectrum of a special almost-periodic function.
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Baeta Segundo, J.A., Hey, H. & Wreszinski, W.F. On quantum stability for systems under quasiperiodic perturbations. J Stat Phys 76, 1479–1493 (1994). https://doi.org/10.1007/BF02187072
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DOI: https://doi.org/10.1007/BF02187072