Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
We prove that the Floquet spectrum of a class of time-periodic Schroedinger equations under a a mildly nonlinear resonant forcing is purely absolutely continuous.
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Cite
@article{arxiv.math-ph/0003007,
title = {Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator},
author = {Sandro Graffi and Kenji Yajima},
journal= {arXiv preprint arXiv:math-ph/0003007},
year = {2009}
}
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8 pages