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

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Soylu A., Bayrak O., Boztosun I.

Open Physics

2012

vol. 10

issue 4

953-959

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.

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1 Open Physics

1 2012

1 Bayrak O.

1 Boztosun I.

1 Soylu A.

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