A TRANSFORMATION METHOD TO CONSTRUCT FAMILY OF EXACTLY SOLVABLE POTENTIALS IN QUANTUM MECHANICS

被引：7
|
作者：
Bhagawati, Nabaratna [1 ]
Saikia, N. [2 ]
Singh, N. Nimai [1 ]
机构：
[1] Gauhati Univ, Dept Phys, Gauhati 781014, India
[2] Chaiduar Coll, Dept Phys, Gohpur 784168, India
来源：
ACTA PHYSICA POLONICA B | 2013年 / 44卷 / 08期
关键词：
SCHRODINGER-EQUATION;
D O I：
10.5506/APhysPolB.44.1711
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A transformation method is applied to the second order ordinary differential equation satisfied by orthogonal polynomials to construct a family of exactly solvable quantum systems in any arbitrary dimensional space. Using the properties of orthogonal polynomials, the method transforms polynomial differential equation to D-dimensional radial Schrodinger equation which facilitates construction of exactly solvable quantum systems. The method is also applied using associated Laguerre and hypergeometric polynomials. The quantum systems generated from other polynomials are also briefly highlighted.
引用
收藏
页码：1711 / 1723
页数：13
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