High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation-Reference-Cited by-同舟云学术

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

Published:1998-10 Issue:07 Volume:09 Page:1055-1071
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Simos T. E.¹

Affiliation:

1. Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-67 100 Xanthi, Greece

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183198000996

Reference25 articles.

1. Practical points concerning the solution of the Schrödinger equation

2. A one-step method for direct integration of structural dynamic equations

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