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

• Authors: Asim Soylu , Orhan Bayrak , Ismail Boztosun
• Languages of publication: EN

Abstracts

EN

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

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 4
• Pages: 953-959

Dates

published

1 - 8 - 2012

online

17 - 7 - 2012

Contributors

author

Asim Soylu

• Department of Physics, Nigde University, 51240, Nigde, Turkey

author

Orhan Bayrak

• Department of Physics, Akdeniz University, 07058, Antalya, Turkey

author

Ismail Boztosun

• Department of Physics, Akdeniz University, 07058, Antalya, Turkey

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Identifiers

DOI

10.2478/s11534-012-0018-y