Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential
CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.10, no.4, pp.953-959, 2012 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 10 Issue: 4
- Publication Date: 2012
- Doi Number: 10.2478/s11534-012-0018-y
- Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.953-959
- Keywords: velocity-dependent potential, asymptotic iteration method, analytical solution, numerical solution, Schrodinger equation, Morse potential, PERTURBATION-THEORY, SCATTERING, MECHANICS, ELECTRONS, STATES
- Akdeniz University Affiliated: Yes
Abstract
We investigate the effect of the isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Morse potential for any quantum states. When the velocity-dependent term is used as a constant parameter, rho(r) = rho (0), the energy eigenvalues can be obtained analytically by using the Pekeris approximation. When the velocity-dependent term is considered as an harmonic oscillator type, rho(r) = rho (0) r (2), we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and a"" quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of rho (0), in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.