Computation of the eigenvalues of the Schrodinger equation by exponentially-fitted Runge-Kutta-Nystrom methods

被引：20

作者：

Kalogiratou, Z. ^{[1
]}

Monovasilis, Th. ^{[2
]}

Simos, T. E.

机构：

[1] Technol Educ Inst Western Macedonia Kastoria, Dept Informat & Comp Technol, Kastoria 52100, Greece

[2] Technol Educ Inst Western Macedonia Kastoria, Dept Int Trade, Kastoria 52100, Greece

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 02期

关键词：

Runge-Kutta-Nystrom methods; Schrodinger equation; Trigonometrically fitted; INITIAL-VALUE PROBLEMS; NUMERICAL-INTEGRATION; OSCILLATING SOLUTIONS;

D O I：

10.1016/j.cpc.2008.09.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work we consider exponentially fitted and trigonometrically fitted Runge-Kutta-Nystrom methods. These methods integrate exactly differential systems whose solutions can be expressed as linear combinations of the set of functions exp(wx), exp(-wx), or sin(wx), cos(wx), w epsilon N. We modify existing RKN methods of fifth and sixth order. We apply these methods to the computation of the eigenvalues of the Schrodinger equation with different potentials as the harmonic oscillator, the doubly anharmonic oscillator and the exponential potential. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：167 / 176

页数：10

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