A symmetric high order method with minimal phase-lag for the numerical solution of the Schrodinger equation

被引：36
|
作者：
Simos, TE
Vigo-Aguiar, J
机构：
[1] Univ Salamanca, Fac Ciencias, Dept Matemat Aplicada, E-37008 Salamanca, Spain
[2] Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2001年 / 12卷 / 07期
关键词：
symmetric methods; multistep methods; radial Schrodinger equation; resonance problems; scattering problems; phase shift problems; phase-lag;
D O I：
10.1142/S0129183101002292
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a new high algebraic order symmetric eight-step method is introduced. For this method, a direct formula for the computation of the phase-lag is given. Based on this formula, an eight-step symmetric method with minimal phase-lag is developed. The new method has better stability properties than the classical one. Numerical illustrations on the radial Schrodinger equation indicate that the new method is more efficient than older ones.
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页码：1035 / 1042
页数：8
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