Eigen-Solutions to Schrodinger Equation with Trigonometric Inversely Quadratic Plus Coulombic Hyperbolic Potential
Ituen B. Okon, Akaninyene D. Antia, Akaninyene O. Akankpo, Imeh. E. Essien
Physical Science International Journal · pp. 61–75 · Published 26 May 2020
10.9734/psij/2020/v24i330183Abstract
In this work, we applied parametric Nikiforov-Uvarov method to analytically obtained eigen solutions to Schrodinger wave equation with Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential. We obtain energy-Eigen equation and total normalised wave function expressed in terms of Jacobi polynomial. The numerical solutions produce positive and negative bound state energies which signifies that the potential is suitable for describing both particle and anti-particle. The numerical bound state energies decreases with an increase in quantum state with fixed orbital angular quantum number 0, 1, 2 and 3. The numerical bound state energies decreases with an increase in the screening parameter and 0.5. The energy spectral diagrams show unique quantisation of the different energy levels. This potential reduces to Coulomb potential as a special case. The numerical solutions were carried out with algorithm implemented using MATLAB 8.0 software using the resulting energy-Eigen equation.
Cited by 4
Ceng Chang, Xuechao Li, Yawen Cai · Photonics and Nanostructures - Fundamentals and Applications · 2024
Ituen B. Okon, E. Omugbe, Akaninyene D. Antia · Scientific Reports · 2021
Ceng Chang, Xuechao Li, Yiming Duan · Indian Journal of Physics · 2022
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