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Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues |
| O. Bayrak1**, A. Soylu2, I. Boztosun1
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1Department of Physics, Akdeniz University, Antalya 07058, Turkey
2Department of Physics, Nigde University, Nigde 51240, Turkey
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| Cite this article: |
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O. Bayrak, A. Soylu, I. Boztosun 2011 Chin. Phys. Lett. 28 040304 |
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Abstract We investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framework of the asymptotic iteration method. When the velocity-dependent term is selected as a constant parameter ρ0, we present that the energy eigenvalues can be obtained analytically for both Coulomb and harmonic oscillator potentials. However, when the velocity−dependent term is considered as a harmonic oscillator type ρ0r2, taking the velocity−dependent term as a perturbation, we present how to obtain the energy eigenvalues of the Coulomb and harmonic oscillator potentials for any n and ℓ quantum states by using perturbation expansion and numerical calculations in the asymptotic iteration method procedure.
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| Keywords:
03.65.Fd
03.65.Ge
34.20.Cf
34.20.Gj
31.15.Md
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Received: 17 September 2010
Published: 29 March 2011
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| PACS: |
03.65.Fd
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(Algebraic methods)
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03.65.Ge
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(Solutions of wave equations: bound states)
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34.20.Cf
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(Interatomic potentials and forces)
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34.20.Gj
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(Intermolecular and atom-molecule potentials and forces)
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31.15.Md
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