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Absorbing Boundary Conditions for Solving <em>N</em>-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

Absorbing Boundary Conditions for Solving <em>N</em>-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities
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Year:    2011

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

Keywords:   

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