Long-Time Anderson Localization for the Nonlinear Random Schrödinger Equation on ${\mathbb {Z}}^d$

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2024-09-16 DOI:10.1007/s10955-024-03333-5

Hongzi Cong, Yunfeng Shi, Xiaoqing Wu

引用次数: 0

Abstract

In this paper, we prove the long-time Anderson localization for the nonlinear random Schrödinger equation on ${\mathbb {Z}}^d$ by using the Birkhoff normal form technique.

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非线性随机薛定谔方程在 $${\mathbb {Z}}^d$ 上的长时间安德森定位问题

本文利用伯克霍夫正则表达式技术证明了非线性随机薛定谔方程在${\mathbb {Z}}^d$ 上的长时间安德森定位。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.

Long-Time Anderson Localization for the Nonlinear Random Schrödinger Equation on \({\mathbb {Z}}^d\)

Abstract