Spectrum for quantum duffing oscillator and small‐divisor equation with large‐variable coefficient

By establishing a new estimate of the solutions for the small-divisor equation with large variable coefficients and using the KAM technique, we prove a reduction theorem that entails the pure point nature of the Floquet spectrum of the quantum Duffing oscillator with a small perturbation temporal quasi-periodic with nonresonant frequencies. © 2010 Wiley Periodicals, Inc.

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