Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules

Abstract

We obtain the bound-state solutions of the radial Schrödinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal with the centrifugal term. The analytical expressions for the energy eigenvalues and the corresponding wave functions are obtained in closed form for arbitrary -state. The ro-vibrational energy levels for a few diatomic molecules are also calculated. They are found to be in good agreement with those ones previously obtained by the Morse potential.

14 pages, 2 figure; to appear in Journal of Mathematical Chemistry (2012)

References in corpus (5)

• An improved approximation scheme for the centrifugal term and the Hulthen potential
• Exact solutions of the radial Schrodinger equation for some physical potentials
• The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator
• Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials

Cited by in corpus (7)

• Nonrelativistic molecular models under external magnetic and AB flux fields
• Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
• Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential
• The Generalized Fractional NU Method for the Diatomic Molecules in the Deng-Fan Model
• Ro-vibrational energy and thermodynamic properties of molecules subjected to Deng-Fan potential through an improved approximation
• Spectroscopic study of some diatomic molecules via the proper quantization rule
• Exact solution of the Schrödinger equation with a Lennard-Jones potential