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 

机构地区：[1]Institut Elie CartanNancy,Nancy-Universite,CNRSUMR 7502,INRIA CORIDA Team,Boulevard des Aiguillettes B.P.239,54506 Vandoeuvre-les-Nancy,France [2]Laboratoire Paul Painleve,CNRS UMR 8524,Simpaf Project Team-Inria CR Lille Nord Europe,Universite des Sciences et Technologies de Lille,Cite Scientifique,59655 Villeneuve d’Ascq Cedex,France [3]Lehrstuhl fur Angewandte Mathematik und Numerische Analysis,Fachbereich C-Mathematik und Naturwissenschaften,Bergische Universitat Wuppertal,Gaußstr.20,42119 Wuppertal,Germany

出　　处：《Communications in Computational Physics》2011年第10期1280-1304,共25页计算物理通讯（英文）

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

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

关 键 词：Absorbing boundary conditions stationary Schrodinger equations unbounded domain spatially dependent potential ground states computation 

分 类 号：O17[理学—数学]