Exact Solutions of Schrödinger Equation with Improved Ring-Shaped Non-Spherical Harmonic Oscillator and Coulomb Potential |
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| Authors: | Akpan Ndem Ikot Ita O. Akpan T. M. Abbey Hassan Hassanabadi |
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| Affiliation: | 1. Theoretical Physics Group, Department of Physics, University of Port Harcourt, PMB 5323 Choba Port Harcourt, Nigeria;2. Department of Physics, University of Calabar, Nigeria;3. Department of Physics, University of Shadrood, Shahrood, Iran |
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| Abstract: | We propose improved ring shaped like potential of the form, V(r,θ)=V(r)+(?2/2Mr2) [(βsin2θ +γcos2θ +λ)/sin θcosθ]2 and its exact solutions are presented via the Nikiforov-Uvarov method. The angle dependent part V(θ)=(?2/2Mr2) [(βsin2θ +γcos2θ +λ)/sin θcosθ]2, which is reported for the first time embodied the novel angle dependent (NAD) potential and harmonic novel angle dependent potential (HNAD) as special cases. We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials. |
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| Keywords: | improved ring shaped like potential Schrödinger equation Nikiforov-Uvarov method |
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