Analytical solutions of the Kratzer-Fues potential in an arbitrary number of dimensions

被引：70

作者：

Oyewumi, KJ ^{[1
]}

机构：

[1] Univ Ilorin, Dept Phys, Ilorin, Nigeria

来源：

FOUNDATIONS OF PHYSICS LETTERS | 2005年 / 18卷 / 01期

关键词：

arbitrary dimensions; Kratzer-Fues potential; Schrodinger equation; analytical solutions; hyperspherical harmonics;

D O I：

10.1007/s10702-005-2481-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some aspects of the N dimensional Kratzer-Fues potential are discussed, which is an extension of the combined Coulomb-like potential with inverse quadratic potential in N dimensions. The analytical solutions obtained (eigenfunctions and eigenvalues) are dimensionally dependent, so also, the solutions depend on the value of the coefficient of the inverse quadratic term. The expectation values for < r(-2) >, < r(-1) > and the virial theorem for this potential are obtained and the values are also dimensions and parameter dependent.

引用

页码：75 / 84

页数：10

共 45 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS F

[2] Hydrogen atom in N dimensions [J].