A reducibility result for Schrödinger operator with finite smooth and time quasi-periodic potential (1706.06767v1)

Published 21 Jun 2017 in math.DS

Abstract: In the present paper, we establish a reduction theorem for linear Schr\"odinger equation with finite smooth and time-quasi-periodic potential subject to Dirichlet boundary condition by means of KAM technique. Moreover, it is proved that the corresponding Schr\"odinger operator possesses the property of pure point spectra and zero Lyapunov exponent.

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Authors (1)

Jing Li

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