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

页码：627 / 648

页数：22

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