Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schr¨odinger Equations with Unbounded Potentials and Nonlinearities

作     者：Pauline Klein Xavier Antoine Christophe Besse Matthias Ehrhardt 

作者机构：Institut Elie CartanNancyNancy-UniversiteCNRSUMR 7502INRIA CORIDA TeamBoulevard des Aiguillettes B.P.23954506 Vandoeuvre-les-NancyFrance Laboratoire Paul PainleveCNRS UMR 8524Simpaf Project Team-Inria CR Lille Nord EuropeUniversite des Sciences et Technologies de LilleCite Scientifique59655 Villeneuve d’Ascq CedexFrance Lehrstuhl fur Angewandte Mathematik und Numerische AnalysisFachbereich C-Mathematik und NaturwissenschaftenBergische Universitat WuppertalGaußstr.2042119 WuppertalGermany 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2011年第10卷第10期

页      面：1280-1304页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the French ANR fundings under the project MicroWave NT09_460489 

主　　题：Absorbing boundary conditions stationary Schrodinger equations unbounded domain spatially dependent potential ground states computation 

摘      要：We propose a hierarchy of novel absorbing boundary conditions for the onedimensional stationary Schr¨odinger equation with general(linear and nonlinear)*** accuracy of the new absorbing boundary conditions is investigated numerically for the computation of energies and ground-states for linear and nonlinear Schr¨odinger *** turns out that these absorbing boundary conditions and their variants lead to a higher accuracy than the usual Dirichlet boundary ***,we give the extension of these ABCs to N-dimensional stationary Schr¨odinger equations.