SIMPLE AND ACCURATE EXPLICIT BESSEL AND NEUMANN FITTED METHODS FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION

T. E. Simos ()
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T. E. Simos: Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 01, 79-89

Abstract: Explicit second and fourth algebraic order methods for the numerical solution of the Schrödinger equation are developed in this paper. The new methods have free parameters defined so that the methods arefittedto spherical Bessel and Neumann functions. Based on these new methods we obtained a variable-step algorithm. The results produced based on the numerical solution of the radial Schrödinger equation and the coupled differential equations arising from the Schrödinger equation indicate that this new approach is more efficient than other well known ones.

Keywords: Bessel and Neumann Fitted Methods; Schrödinger Equation; Scattering Problems; Coupled Differential Equations; Phase Shift Problems; Resonance Problem (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000080

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