High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation

T. E. Simos ()
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T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-67 100 Xanthi, Greece

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 07, 1055-1071

Abstract: A family of new hybrid four-step tenth algebraic order methods with phase-lag of order fourteen is developed for accurate computations of the radial Schrödinger equation. Numerical results obtained for the integration of the phase shift problem for the well known case of the Lennard-Jones potential and for the numerical solution of the coupled equations arising from the Schrödinger equation show that these new methods are better than other finite difference methods.

Keywords: Schrödinger Equation; Phase Shift; Phase-Lag; Lennard-Jones Potential; Coupled Differential Equations (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000996

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