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A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation

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Abstract

In the present paper we introduce a new methodology for the development of numerical methods for the numerical solution of the one-dimensional Schrödinger equation. The new methodology is based on the requirement of vanishing the phase-lag and its derivatives. The efficiency of the new methodology is proved via error analysis and numerical applications.

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Authors and Affiliations

  1. Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, 221 00, Tripolis, Greece

    Z. A. Anastassi, D. S. Vlachos & T. E. Simos

  2. European Academy of Arts, Sciences and Humanities, 10 Konitsis Street, Amfithea—Paleon Faliron, 175 64, Athens, Greece

    T. E. Simos

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  1. Z. A. Anastassi
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  2. D. S. Vlachos
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  3. T. E. Simos
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T. E. Simos is Highly Cited Researcher, Active Member of the European Academy of Sciences and Arts.

Corresponding Member of the European Academy of Sciences and European Academy of Arts, Sciences and Humanities.

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Anastassi, Z.A., Vlachos, D.S. & Simos, T.E. A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation. J Math Chem 46, 652–691 (2009). https://doi.org/10.1007/s10910-008-9508-y

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