Summary: A Review of artificial boundary conditions for the Schr¨odinger equation
Xavier Antoine1,
, Anton Arnold2,
, Christophe Besse3,
, Matthias Ehrhardt4,
, and Achim Sch¨adle5,
1
Institut Elie Cartan Nancy, Universit´e Henri Poincar´e Nancy 1, UMR 7502, INRIA Corida, Nancy-Universit´e, France.
2
Institut f¨ur Analysis und Scientific Computing, Technische Universit¨at Wien, Wiedner Hauptstr. 8, A­1040 Wien, Austria.
3
INRIA Futurs ­ Simpaf Team, Laboratoire Paul Painlev´e UMR CNRS 8524 Univ. des Sciences et Technologies Lille,
France.
4
Institut f¨ur Mathematik, MA 3­3, Technische Universit¨at Berlin, Strasse des 17. Juni 136, D­10623 Berlin, Germany.
5
Zuse-Institut Berlin, Takustrasse 7, D­14195 Berlin, Germany.
In this review we discuss techniques to solve numerically the time­dependent linear Schr¨odinger equation on unbounded
domains. We present some recent approaches and describe alternative ideas pointing out the relations between these works.
1 Introduction

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

Collections: Mathematics