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Open Physics

formerly Central European Journal of Physics

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Volume 10, Issue 4

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Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential

Asim Soylu / Orhan Bayrak / Ismail Boztosun
Published Online: 2012-07-17 | DOI: https://doi.org/10.2478/s11534-012-0018-y

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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, ρ(r) = ρ 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, ρ(r) = ρ 0 r 2, we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and ℓ quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of ρ 0, in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.

Keywords: velocity-dependent potential; asymptotic iteration method; analytical solution; numerical solution; Schrödinger equation; Morse potential

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About the article

Published Online: 2012-07-17

Published in Print: 2012-08-01

Citation Information: Open Physics, Volume 10, Issue 4, Pages 953–959, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-012-0018-y.

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© 2012 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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