Oscillator strengths based on the Möbius square potential under Schrödinger equation

B. H. Yazarloo; H. Hassanabadi; S. Zarrinkamar

doi:10.1140/epjp/i2012-12051-9

EPJ

Oscillator strengths based on the Möbius square potential under Schrödinger equation

B. H. Yazarloo¹^*, H. Hassanabadi² and S. Zarrinkamar³

¹ Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
² Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
³ Young Researchers Club, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received: 1 March 2012
Revised: 8 April 2012
Accepted: 30 April 2012
Published online: 21 May 2012

Abstract

By applying the NU method and an approximation to the centrifugal term, we have solved the Schrödinger equation in D-dimensions for the Möbius square potential which in some particular cases gives the Morse and Hulthén potentials. The eigenfunctions as well as the energy eigenvalues are obtained and some expectation values are reported. The important parameter of oscillator strength is obtained and discussed in terms of various parameters of the system.