EXACT AND APPROXIMATE SOLUTIONS TO THE SCHRODINGER-EQUATION FOR THE HARMONIC-OSCILLATOR WITH A SINGULAR PERTURBATION

被引：31
|
作者：
FERNANDEZ, FM
机构：
[1] Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), División Química Teórica, 1900 La Plata, Sucursal 4
来源：
PHYSICS LETTERS A | 1991年 / 160卷 / 06期
关键词：
D O I：
10.1016/0375-9601(91)91058-L
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
I obtain exact solutions for the quantum-mechanical harmonic oscillator with a perturbation potential which belongs to a class of polynomial functions of 1/r. I show that some of the eigenfunctions enable the calculation of expectation values in closed form and are therefore suitable trial functions for the application of the variational method to related nonsolvable problems.
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页码：511 / 514
页数：4
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