A sixth order Bessel and Neumann fitted method for the numerical solution of the Schrodinger equation

被引：2
|
作者：
Simos, T. E. [1 ]
机构：
[1] Democritus Univ Thrace, Dept Civil Engn, Sch Engn, Sect Math, GR-67100 Xanthi, Greece
来源：
MOLECULAR SIMULATION | 1999年 / 21卷 / 04期
关键词：
Schrodinger equation; coupled differential equations; Bessel and Neumann fitting; scattering problems;
D O I：
10.1080/08927029908022061
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
A sixth algebraic order method for the numerical solution of the Schrodinger equation is developed in this paper. The new method has free parameters which will be defined such that the method is fitted to spherical Bessel and Neumann functions. Based on the new method and the method of Simos and Williams [15] we have obtained a variable-step method. The results produced based on the numerical solution the radial Schrodinger equation and of coupled differential equations arising from the Schrodinger equation indicate that this new approache is more efficient than other well known methods.
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页码：191 / 204
页数：14
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