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A Review of Artificial Boundary Conditions for the Schrödinger Equation

Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schädle, Achim

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

In this review we discuss techniques to solve numerically the time-dependent linear Schrödinger equation on unbounded domains. We present some recent approaches and describe alternative ideas pointing out the relations between these works.