Spectrum for Quantum Duffing Oscillator and Small-Divisor Equation with Large-Variable Coefficient

被引：8

作者：

Liu, Jianjun ^{[1
]}

Yuan, Xiaoping ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2010年 / 63卷 / 09期

基金：

中国国家自然科学基金;

关键词：

ABSOLUTELY CONTINUOUS-SPECTRUM; PURE POINT SPECTRUM; FLOQUET OPERATORS; HARMONIC-OSCILLATOR; PERIODIC PERTURBATIONS; SCHRODINGER-OPERATORS; SINGULAR SPECTRUM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2009 Wiley Periodicals, Inc.

引用

页码：1145 / 1172

页数：28

共 26 条

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