Review of multistep methods for the numerical solution of the radial Schrodinger equation

被引：82

作者：

Vigo-Aguiar, J ^{[1
]}

Simos, TE

机构：

[1] Univ Salamanca, Dept Appl Math, E-37008 Salamanca, Spain

[2] Democritus Univ Thrace, Dept Civil Engn, Sect Math, Sch Engn, GR-67100 Xanthi, Greece

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2005年 / 103卷 / 03期

关键词：

Cowell methods; multistep methods; explicit methods; adapted methods; exponential fitting methods; Schrodinger equation; resonance problem; bound-states problem;

D O I：

10.1002/qua.20495

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 review of multistep methods for the numerical solution of the Schrodinger equation is presented. Since the literature reports difficulties in the production of some of the Bettis-Cowell methods, we have included a simple way that permits production of these methods for any algebraic and trigonometric order. Numerical comparisons on resonance problems and bound-states problems are also described. (c) 2005 Wiley Periodicals, Inc.

引用

页码：278 / 290

页数：13

共 22 条

[1]

[Anonymous], ATOMIC STRUCTURE COM

[2]

Blatt J M, 1967, J COMP PHYSIOL, V1, P382, DOI [10.1016/0021-9991(67)90046-0, DOI 10.1016/0021-9991(67)90046-0]

[3]

Henrici P., 1962, Discrete variable methods in ordinary differential equations

[4]

Herzberg G., 1966, ELECT SPECTRA ELECT

[5] A NUMEROV-LIKE SCHEME FOR THE NUMERICAL-SOLUTION OF THE SCHRODINGER-EQUATION IN THE DEEP CONTINUUM SPECTRUM OF ENERGIES [J].

IXARU, LG ;

RIZEA, M .

COMPUTER PHYSICS COMMUNICATIONS, 1980, 19 (01) :23-27

[6]

Ixaru LG., 1978, TOPICS THEORETICAL P

[7]

Landau L., 1965, QUANTUM MECH

[8] CHEBYSHEVIAN MULTISTEP METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS [J].

LYCHE, T .

NUMERISCHE MATHEMATIK, 1972, 19 (01) :65-&

[9]

PRIGOGINE I, 1997, ADV CHEM PHYS, V93

[10] EXPONENTIAL-FITTING METHODS FOR NUMERICAL-SOLUTION OF SCHRODINGER EQUATION [J].

RAPTIS, A ;

ALLISON, AC .

COMPUTER PHYSICS COMMUNICATIONS, 1978, 14 (1-2) :1-5

← 1 2 3 →