HIGHER ORDER UNITARY INTEGRATORS FOR THE SCHRÖDINGER EQUATION

Helge Frauenkron and Peter Grassberger
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Helge Frauenkron: Physics Department, University of Wuppertal, D-5600 Wuppertal 1, Germany
Peter Grassberger: Physics Department, University of Wuppertal, D-5600 Wuppertal 1, Germany

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 01, 37-45

Abstract: For classical Hamiltonian dynamics, much progress has recently been made in manifestly symplectic integrators. In this work some of these integrators will be generalized to the Schrödinger equation. There they correspond to algorithms which preserve unitarity and time reversal invariance exactly. In particular, we apply them to the one-dimensional harmonic and anharmonic oscillators. The accuracies of the three different algorithms are compared.

Date: 1994
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DOI: 10.1142/S0129183194000040

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