Absorbing boundary conditions for the one-dimensional Schrodinger equation with an exterior repulsive potential

被引：54

作者：

Antoine, Xavier ^{[1
]}

Besse, Christophe ^{[2
]}

Klein, Pauline ^{[1
]}

机构：

[1] Nancy Univ, Inst Elie Cartan Nancy, CNRS UMR 7502, INRIA CORIDA Team, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Lille 1, UFR Math Pures & Appl, Equipe Projet Simpaf Inria CR Lille Nord Europe, Lab Paul Painleve,CNRS,UMR 8524, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 02期

关键词：

Schrodinger equation; Artificial boundary condition; Exterior potential; Unconditionally stable discretization schemes; Numerical simulations; TRANSPARENT; APPROXIMATIONS; SIMULATION; SCHEMES;

D O I：

10.1016/j.jcp.2008.09.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Mathematical constructions and comparisons of accurate absorbing boundary conditions for the one-dimensional Schrodinger equation with a general variable repulsive potential are developed. Stable semi-discretization schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and show that they yield accurate computations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：312 / 335

页数：24

共 29 条

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