Rotation Numbers of Linear Schrödinger Equations with Almost Periodic Potentials and Phase Transmissions

Meirong Zhang; Zhe Zhou

首页> 外文期刊>Annales Henri Poincare >Rotation Numbers of Linear Schrödinger Equations with Almost Periodic Potentials and Phase Transmissions

【24h】

Rotation Numbers of Linear Schrödinger Equations with Almost Periodic Potentials and Phase Transmissions

机译：具有近似周期势和相传输的线性Schrödinger方程的旋转数。

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper we study the linear Schrödinger equation with an almost periodic potential and phase transmission. Based on the extended unique ergodic theorem by Johnson and Moser, we will show for such an equation the existence of the rotation number. This extends the work of Johnson and Moser (in Commun Math Phys 84:403–438, 1982; Erratum Commun Math Phys 90:317–318, 1983) where no phase transmission is considered. The continuous dependence of rotation numbers on potentials and transmissions will be proved.

机译：在本文中，我们研究具有几乎周期性的电势和相位传输的线性Schrödinger方程。基于Johnson和Moser扩展的唯一遍历定理，我们将为这种方程式显示旋转数的存在。这扩展了Johnson和Moser的工作（在Commun Math Phys 84：403-438，1982； Erratum Commun Math Phys 90：317-318，1983），其中没有考虑相位传输。将证明旋转数对电位和传输的连续依赖性。

著录项

来源
《Annales Henri Poincare》 |2010年第4期|p.765-780|共16页
作者
Meirong Zhang; Zhe Zhou;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. Rotation numbers of linear Schr?dinger equations with almost periodic potentials and phase transmissions [J] . Zhang M., Zhou Z. Annales Henri Poincare . 2010,第4期

机译：具有几乎周期电势和相位传输的线性薛定ding方程的旋转数
2. Stationary States for Nonlinear Schr?dinger Equations with Periodic Potentials [J] . Reika Fukuizumi, Andrea Sacchetti Journal of Statistical Physics . 2014,第4期

机译：具有周期势的非线性薛定ding方程的平稳状态
3. On superlinear Schr?dinger equations with periodic potential [J] . Liu S. Calculus of variations and partial differential equations . 2012,第1a2期

机译：具有周期势的超线性薛定er方程
4. Localized nonlinear optical modes and the corresponding support structures: Exact solutions to the nonlinear Schrödinger equation with external potentials [C] . Malomed B. A., Stepanyants Y. A. 2010 International Conference on Electromagnetics in Advanced Applications . 2010

机译：局部非线性光学模式和相应的支撑结构：带外部电势的非线性薛定ding方程的精确解
5. Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials [D] . Lindgren, Joseph B. 2017

机译：Orbital稳定性结果对于非线性SCHR的孤子解决方案的轨道稳定性：具有外部潜力的Dinger方程
6. Three-Dimensional Structures of the Spatiotemporal Nonlinear Schrödinger Equation with Power-Law Nonlinearity in PT-Symmetric Potentials [O] . Chao-Qing Dai, Yan Wang -1

机译：PT对称势中具有幂律非线性的时空非线性Schrödinger方程的三维结构
7. Quasi-periodic solutions of derivative nonlinear Schrödinger equations with a given potential [O] . Mi Lufang 2012

机译：具有给定电势的导数非线性Schrödinger方程的拟周期解

Rotation Numbers of Linear Schrödinger Equations with Almost Periodic Potentials and Phase Transmissions

摘要

著录项

相似文献

相关主题

期刊订阅