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

共 50 条

[21] Global and blow-up solutions for compressible Euler equations with time-dependent damping [J].

Chen, Shaohua ;

Li, Haitong ;

Li, Jingyu ;

Mei, Ming ;

Zhang, Kaijun .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (09) :5035-5077

[22] Blow up of solutions to 1-d Euler equations with time-dependent damping [J].

Pan, Xinghong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (02) :435-445

[23] Coupled nonlinear and time-dependent analysis for long span cable-stayed bridges [J].

Chen, Changsong ;

Ma, Yafei ;

Yan, Donghuang ;

Li, Zhilun .

STRUCTURE AND INFRASTRUCTURE ENGINEERING, 2020, 16 (10) :1416-1429

[24] TIME-DEPENDENT GLOBAL ATTRACTORS FOR THE STRONGLY DAMPED WAVE EQUATIONS WITH LOWER REGULAR FORCING TERM [J].

Mei, Xinyu ;

Sun, Tao ;

Xie, Yongqin ;

Zhu, Kaixuan .

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 60 (02) :653-672

[25] Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations [J].

Dridi, Hanni .

RICERCHE DI MATEMATICA, 2023, 72 (02) :565-597

[26] Detection of different possible responses of a time-dependent nonlinear periodic chain with local and global potentials [J].

Labetoulle, A. ;

Savadkoohi, A. Ture ;

Gourdon, E. .

CHAOS SOLITONS & FRACTALS, 2024, 186

[27] Improved nonlinear Burgers shear creep model based on the time-dependent shear strength for rock [J].

Lin, Hang ;

Zhang, Xing ;

Cao, Rihong ;

Wen, Zhijie .

ENVIRONMENTAL EARTH SCIENCES, 2020, 79 (06)

[28] Analytical solutions and asymptotic profiles of vacuum free boundary for the compressible Euler equations with time-dependent damping [J].

Li, Kunquan ;

Jia, Jia ;

Zhang, Meng ;

Guo, Zhengguang .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 547 (02)

[29] GLOBAL EXISTENCE AND BLOWUP OF SMOOTH SOLUTIONS OF 3-D POTENTIAL EQUATIONS WITH TIME-DEPENDENT DAMPING [J].

Hou, Fei ;

Witt, Ingo ;

Yin, Huicheng .

PACIFIC JOURNAL OF MATHEMATICS, 2018, 292 (02) :389-426

[30] Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension [J].

Wakasugi, Yuta .

ASYMPTOTIC ANALYSIS FOR NONLINEAR DISPERSIVE AND WAVE EQUATIONS, 2019, 81 :401-419

← 1 2 3 4 5 →