Absorbing Boundary Conditions for Solving <em>N</em>-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities
Year: 2011
Author: Pauline Klein, Xavier Antoine, Christophe Besse, Matthias Ehrhardt
Communications in Computational Physics, Vol. 10 (2011), Iss. 5 : pp. 1280–1304
Abstract
We propose a hierarchy of novel absorbing boundary conditions for the one-dimensional stationary Schrödinger 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 Schrödinger 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 Schrödinger equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.251010.160211a
Communications in Computational Physics, Vol. 10 (2011), Iss. 5 : pp. 1280–1304
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Author Details
Pauline Klein Email
Xavier Antoine Email
Christophe Besse Email
Matthias Ehrhardt Email
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