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

Sandro Graffi, Kenji Yajima

math-pharXiv:math-ph/0003007

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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