Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

Xavier Antoine; Christophe Besse; Pauline Klein

hal-00347888, version 1

Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

Xavier Antoine () ^1, 2, Christophe Besse ^3, 4, Pauline Klein ^1, 2, 4

Journal of Computational Physics 228, 2 (2009) 312-335

Résumé : Mathematical constructions and comparisons of accurate absorbing boundary conditions for the one-dimensional Schrödinger equation with a general variable repulsive potential are developed. Stable semi-discretization schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and show that they yield accurate computations.

1 : Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
2 : CORIDA (INRIA Nancy - Grand Est / IECN / LMAM)
INRIA – CNRS : UMR7502 – Université de Lorraine
3 : Laboratoire Paul Painlevé (LPP)
CNRS : UMR8524 – Université Lille I - Sciences et technologies
4 : SIMPAF (INRIA Futurs)
INRIA

hal-00347888, version 1
http://hal.archives-ouvertes.fr/hal-00347888
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Contributeur : Xavier Antoine <>
Soumis le : Mercredi 17 Décembre 2008, 09:32:15
Dernière modification le : Vendredi 19 Décembre 2008, 11:28:58

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