Analytical Calculations for Rosen-Morse

and Manning-Rosen Oscillators

 

A. Belafhal*, A. Tmiri

Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

* Corresponding author. E-mail:  belafhal@gmail.com

Received: 15 April 2011; revised version accepted: 20 June 2011

 

Abstract

     It is well known that matrix elements of common operators play an important role in quantum mechanics. In this paper, analytic expressions for the matrix elements of some operators are obtained in the Rosen-Morse and Manning-Rosen basis. With such matrix elements, the Rosen-Morse and Manning-Rosen oscillators become a practical building block in molecular theory and a simultaneous treatment by introduction of the Jacobi polynomials.

 

Keywords: Rosen-Morse and Manning-Rosen oscillators; Jacobi polynomials; Matrix elements.

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