Generation of new classes of exactly solvable potentials

被引：18

作者：

Ahmed, Syed A. S. ^{[1
]}

Buragohain, Lakhi ^{[1
]}

机构：

[1] Gauhati Univ, Dept Phys, Gauhati 781014, India

来源：

PHYSICA SCRIPTA | 2009年 / 80卷 / 02期

关键词：

D O I：

10.1088/0031-8949/80/02/025004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact analytic solutions of the Schrodinger equation are obtained for the classes of newly constructed hyperbolic type of potentials which are generated from the Eckart and trigonometric Rosen-Morse (tRM) potentials as input reference potentials via the extended transformation method. A set of quantized energy spectra of the bound states and the corresponding wavefunctions of the constructed potentials are obtained. We also focus on the Romanovski polynomial, which is a family of real orthogonal polynomials and is required to present exact solutions of tRM potential.

引用

页数：6

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