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An Eighth-Order Method With Minimal Phase-Lag For Accurate Computations For The Elastic Scattering Phase-Shift Problem

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  • T. E. SIMOS

    (School of Engineering, Department of Civil Engineering, Demokritus University of Thrace, GR-671 00 Xanthi, Greece)

Abstract

A new hybrid eighth-algebraic-order two-step method with phase-lag of order ten is developed for computing elastic scattering phase shifts of the one-dimensional Schrödinger equation. Based on this new method and on the method developed recently by Simos we obtain a new variable-step procedure for the numerical integration of the Schrödinger equation. Numerical results obtained for the integration of the phase shift problem for the well known case of the Lenard–Jones potential show that this new method is better than other finite difference methods.

Suggested Citation

  • T. E. Simos, 1996. "An Eighth-Order Method With Minimal Phase-Lag For Accurate Computations For The Elastic Scattering Phase-Shift Problem," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(06), pages 825-835.
    • Handle: RePEc:wsi:ijmpcx:v:07:y:1996:i:06:n:s0129183196000685
    DOI: 10.1142/S0129183196000685
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