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Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

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The computation of the energy eigenvalues of the one-dimensional time-independent Schrödinger equation is considered. Exponentially fitted and trigonometrically fitted symplectic integrators are obtained, by modification of the first and second order Yoshida symplectic methods. Numerical results are obtained for the one-dimensional harmonic oscillator and Morse potential.

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References

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Authors and Affiliations

  1. Department of International Trade, Technological Educational Institute of Western Macedonia at Kastoria, P.O. Box 30, GR-521 00, Kastoria, Greece

    Th. Monovasilis & Z. Kalogiratou

  2. Department of Computer Science and Technology, Faculty of Science and Technology, University of Peloponnessos, 26 Menelaou Street Amfithea - Paleon Faliron, GR-175 64, Athens, Greece

    Th. Monovasilis, Z. Kalogiratou & T.E. Simos

Authors
  1. Th. Monovasilis
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  2. Z. Kalogiratou
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  3. T.E. Simos
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Corresponding author

Correspondence to T.E. Simos.

Additional information

AMS subject classification: 65L15

Funding by research project 71239 of Prefecture of Western Macedonia and the E.U. is gratefully acknowledged.

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Monovasilis, T., Kalogiratou, Z. & Simos, T. Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation. J Math Chem 37, 263–270 (2005). https://doi.org/10.1007/s10910-004-1468-2

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  • DOI: https://doi.org/10.1007/s10910-004-1468-2

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