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

被引：2
|
作者：
Sacchetti, Andrea [1 ]
机构：
[1] Univ Modena & Reggio Emilia, Dept Phys Informat & Math, Modena, Italy
来源：
ANNALES HENRI POINCARE | 2020年 / 21卷 / 02期
关键词：
35Q55; 81Qxx; 81T25; BEHAVIOR;
D O I：
10.1007/s00023-019-00872-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the nonlinear one-dimensional time-dependent Schrodinger 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 Schrodinger equation of the tight-binding model.
引用
收藏
页码：627 / 648
页数：22
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