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Two-step methods for the numerical solution of the Schrödinger equation

Zweischrittmethode zur numerischen Auflösung der Schrödinger-Gleichung

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Abstract

A new two-step exponentially-fitted formula is derived and applied to the Schrödinger equation. The new method is found to significantly more accurate than the standard methods, for large values of the energy.

Zusammenfassung

Für die Schrödinger-Gleichung wird eine neue exponentiell angepaßte Zweischrittmethode hergeleitet und angewendet. Die neue Methode ist für große Werte der Energie bedeutend genauer als die bekannten Methoden.

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Authors and Affiliations

  1. Chair of Numerical Analysis, National Technical University, Zographou Campus, Athens, Greece

    A. D. Raptis

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  1. A. D. Raptis
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Raptis, A.D. Two-step methods for the numerical solution of the Schrödinger equation. Computing 28, 373–378 (1982). https://doi.org/10.1007/BF02279820

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  • DOI: https://doi.org/10.1007/BF02279820

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