CONVERGENT POWER-SERIES SOLUTIONS TO THE SCHRODINGER-EQUATION WITH THE POTENTIAL X2+LAMBDA-X2/(1+GX2)

被引：18

作者：

FERNANDEZ, FM

机构：

[1] División Química Teórica, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), 1900 La Plata, Sucursal 4

来源：

PHYSICS LETTERS A | 1991年 / 160卷 / 02期

关键词：

D O I：

10.1016/0375-9601(91)90598-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We express the solutions of the Schrodinger equation with the potential x2 + lambda-x2/(1 + gx2) as x-nu exp(- x2/2)f(u), where f(u) is an infinite power series of the variable u = x2/(1 + gx2). The truncation of this series up to increasingly large polynomial orders yields sequences of approximate eigenvalues that converge to the actual ones.

引用

页码：116 / 118

页数：3

共 29 条

[1] PERTURBED HARMONIC-OSCILLATOR LADDER OPERATORS - EIGENENERGIES AND EIGENFUNCTIONS FOR THE X2+LAMBDA-X2 (1+GX2) INTERACTION [J].

BESSIS, N ;

BESSIS, G ;

HADINGER, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (03) :497-512

[2] A NOTE ON THE SCHRODINGER-EQUATION FOR THE X2 + LAMBDA-X2/(1 + GX2) POTENTIAL [J].

BESSIS, N ;

BESSIS, G .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (12) :2780-2785

[3] A HARMONIC-OSCILLATOR PERTURBED BY THE POTENTIAL LAMBDA-CHI-2-(1+G-CHI-2) [J].

BHAGWAT, KV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (02) :377-378

[4] THE SCHRODINGER-EQUATION FOR THE CHI-2+LAMBDA-CHI-2/(1+G-CHI-2) INTERACTION [J].

BLECHER, MH ;

LEACH, PGL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :5923-5927

[5] EXACT SOLUTION OF THE SCHRODINGER-EQUATION FOR THE CENTRAL NONPOLYNOMIAL POTENTIAL V(R)=R2+LAMBDAR2/(1+GR2) IN 2 AND 3 DIMENSIONS [J].

BOSE, SK ;

VARMA, N .

PHYSICS LETTERS A, 1989, 141 (3-4) :141-146

[6] ON THE SCHRODINGER-EQUATION FOR THE INTERACTION CHI-2+LAMBDA-CHI-2-(1+G-CHI-2) [J].

CHAUDHURI, RN ;

MUKHERJEE, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (17) :4031-4038

[7] ON THE SCHRODINGER-EQUATION FOR THE INTERACTION X2+LAMBDA-X2/(1+GX2) [J].

COHEN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (11) :2345-2348

[8] ON THE HILL DETERMINANT METHOD [J].

ESTRIN, DA ;

FERNANDEZ, FM ;

CASTRO, EA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (12) :2395-2400

[9] DYNAMIC-GROUP APPROACH TO THE X2+LAMBDAX2/(1+GX2) POTENTIAL [J].

FACK, V ;

DEMEYER, H ;

VANDENBERGHE, G .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (05) :1340-1343

[10] ON THE SCHRODINGER-EQUATION FOR THE X2 +LAMBDAX2-(1+GX2) INTERACTION [J].

FLESSAS, GP .

PHYSICS LETTERS A, 1981, 83 (03) :121-122

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