Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator

Details Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator

2000-03-09

arxiv.org/abs/math-ph/0003007v1

Physics

Mathematical Physics

8 pages

Scientific paper

10.1007/s002200000296

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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