Reducibility for Schrodinger Operator with Finite Smooth and Time-Quasi-periodic Potential  

作　　者：Jing LI 

机构地区：[1]School of Mathematics,Shandong University,Ji5nan 250100,China [2]School of Mathematics and Statistics,Shandong University,Weihai 264209,Shandong,China

出　　处：《Chinese Annals of Mathematics,Series B》2020年第3期419-440,共22页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11601277,11771253)。

摘　　要：In this paper, the author establishes a reduction theorem for linear Schr?dinger equation with finite smooth and time-quasi-periodic potential subject to Dirichlet boundary condition by means of KAM(Kolmogorov-Arnold-Moser) technique. Moreover, it is proved that the corresponding Schr?dinger operator possesses the property of pure point spectra and zero Lyapunov exponent.

关 键 词：REDUCIBILITY Quasi-periodic Schrodinger operator KAM theory Finite smooth potential Lyapunov exponent Pure-Point spectrum 

分 类 号：O177[理学—数学]