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Article Dans Une Revue Communications in Computational Physics Année : 2011

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

Résumé

We propose a hierarchy of novel absorbing boundary conditions for the one-dimensional stationary Schrö\-din\-ger 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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Dates et versions

hal-00755605 , version 1 (23-11-2012)

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  • HAL Id : hal-00755605 , version 1

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Pauline Klein, Xavier Antoine, Christophe Besse, Matthias Ehrhardt. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities. Communications in Computational Physics, 2011, 10 (5), pp.1280-1304. ⟨hal-00755605⟩
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