Analytical Solutions to the D-Dimensional Schrodinger Equation with the Eckart Potential

被引：18

作者：

Gao, Jie ^{[1
]}

Zhang, Min-Cang ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Phys & Informat Technol, Xian 710119, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2016年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

HYDROGEN-ATOM; WAVE-FUNCTIONS; COULOMB; OSCILLATOR; SPECTRUM;

D O I：

10.1088/0256-307X/33/1/010303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The analytical solutions to the Schrodinger equation with the Eckart potential in arbitrary dimension.. is investigated by using the Nikiforov-Uvarov method, and the centrifugal term is treated approximatively with the scheme of Greene and Aldrich. The discrete spectrum is obtained and the wavefunction is expressed in terms of the Jacobi polynomial or the hypergeometric function. Some special cases of the Eckart potential are discussed for D=3, and the resulting energy equation agrees well with that obtained by other methods.

引用

页数：4

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