Exponentially confining potential well

被引：10

作者：

Alhaidari, A. D. ^{[1
]}

机构：

[1] Saudi Ctr Theoret Phys, Jeddah, Saudi Arabia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2021年 / 206卷 / 01期

关键词：

exponential potential; tridiagonal representation approach; Bessel polynomial;

D O I：

10.1134/S0040577921010050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce an exponentially confining potential well that can be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solution of the Schrodinger equation with this potential well where we find the lowest energy spectrum and the corresponding wavefunctions. We use the tridiagonal representation approach as the method for obtaining the solution as a finite series of square-integrable functions written in terms of Bessel polynomials.

引用

页码：84 / 96

页数：13

共 29 条

[1] Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters [J].