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Absorbing boundary conditions for solving N-dimensional stationary Schrodinger equations with unbounded potentials and
 

Summary: Absorbing boundary conditions for solving N-dimensional
stationary Schr¨odinger equations with unbounded potentials and
nonlinearities
Pauline Kleina,1
, Xavier Antoinea,1,
, Christophe Besseb,1
, Matthias Ehrhardtc
a
Institut Elie Cartan Nancy, Nancy-Universit´e, CNRS UMR 7502, INRIA CORIDA Team, Boulevard des
Aiguillettes B.P. 239, 54506 Vandoeuvre-l`es-Nancy, France
b
Laboratoire Paul Painlev´e, CNRS UMR 8524, Simpaf Project Team - Inria CR Lille Nord Europe,
Universit´e des Sciences et Technologies de Lille, Cit´e Scientifique, 59655 Villeneuve d'Ascq Cedex, France
c
Lehrstuhl f¨ur Angewandte Mathematik und Numerische Analysis, Fachbereich C ­ Mathematik und
Naturwissenschaften, Bergische Universit¨at Wuppertal, Gaußstr. 20, 42119 Wuppertal, Germany
Abstract
We propose a hierarchy of novel absorbing boundary conditions for the one-dimensional
stationary Schr¨odinger equation with general (linear and nonlinear) potential. The accuracy
of the new absorbing boundary conditions is investigated numerically for the computation

  

Source: Antoine, Xavier - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics