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Physica Scripta

Analytical solution of the Schrödinger equation for isotropic velocity-dependent potentials

Y B Ateş, U. S. Okorie, A. N. Ikot, Eser Olğar

Published Jun 12, 2019• 4 citations
Publisher

Abstract

Abstract The energy spectrum of the velocity-dependent potentials with respect to the harmonic oscillator potential and Coulomb potential are obtained for any n and l quantum states using the Nikiforov–Uvarov method for different cases of velocity-dependent terms. The effects of isotropic velocity-dependent potentials on the bound state energy eigenvalues are examined in analytic form when the form factor is considered as ξ ( r ) = γ r and ξ ( r ) = γ r 2 . As an application to a physical system, we evaluated the vibrational partition function and other thermodynamic properties for the isotropic velocity-dependent potential harmonic oscillator.

DOI
10.1088/1402-4896/ab293d

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Abstract The energy spectrum of the velocity-dependent potentials with respect to the harmonic oscillator potential and Coulomb potential are obtained for any n and l quantum states using the Nikiforov–Uvarov method for different cases of velocity-dependent terms. The effects of isotropic velocity-dependent potentials on the bound state energy eigenvalues are examined in analytic form when the form factor is considered as ξ ( r ) = γ r and ξ ( r ) = γ r 2 . As an application to a physical system, we evaluated the vibrational partition function and other thermodynamic properties for the isotropic velocity-dependent potential harmonic oscillator.
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