Derivation of the Tight-Binding Approximation for Time-Dependent Nonlinear Schrödinger Equations

被引：0
|
作者：
Andrea Sacchetti
机构：
[1] University of Modena e Reggio Emilia,Department of Physics, Informatics and Mathematics
来源：
Annales Henri Poincaré | 2020年 / 21卷
关键词：
35Q55; 81Qxx; 81T25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the nonlinear one-dimensional time-dependent Schrödinger equation with a periodic potential and a bounded perturbation. In the limit of large periodic potential, the time behavior of the wavefunction can be approximated, with a precise estimate of the remainder term, by means of the solution to the discrete nonlinear Schrödinger equation of the tight-binding model.
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页码：627 / 648
页数：21
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