Eigen-solutions and thermal properties of multi-parameter exponential potential.
| Autor: | Onate CA; Department of Physical Sciences, Reedemer's University, Ede, Nigeria., Okon IB; Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria., Onyeaju MC; Department of Physics, University of Port Harcourt, Choba, Nigeria., Omugbe E; Department of Physics, Federal University of Petroleum Resources, Effurun, Nigeria., Antia AD; Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria., Araujo JP; Department of Mathematics, Instituto Federal do Sudeste de Mina Gerais, Juiz de Fora, Brazil., Wen-Li C; School of Intelligent Science and Information Engineering, Xi'an Peihua University, Xi'an, 710125, China. |
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| Jazyk: | angličtina |
| Zdroj: | Heliyon [Heliyon] 2022 Aug 19; Vol. 8 (9), pp. e10343. Date of Electronic Publication: 2022 Aug 19 (Print Publication: 2022). |
| DOI: | 10.1016/j.heliyon.2022.e10343 |
| Abstrakt: | In this work, we determined an approximate eigen solutions of Modified multi-parameter exponential potential using supersymmetric quantum mechanics approach (SUSY) with improved Greene-Aldrich approximation to the centrifugal term. The energy equation and its corresponding normalised radial wave function were fully obtained. The proposed potential reduces to other useful potentials like Rosen-Morse, Hellmann, Yukawa and Coulomb potential as special cases. The thermodynamic properties like the vibrational mean energy ( U β , V ), Vibrational heat capacity ( C β , V ), vibrational entropy ( S β , V ) and vibrational free energy ( F β , V ) of the interacting potential were studied via partition function ( Z β , V ) obtained from the resulting energy equation. This study was applied to three diatomic molecules: Chromium hydride (CrH), Titanium Hydride (TiH) and Thiocynate (ScN). To ascertain the high degree of our analytical mathematical accuracy, we compared the results of special cases with an existing results. These were found to be in excellent agreement with the existing results. Competing Interests: The authors declare no conflict of interest. (© 2022 The Author(s).) |
| Databáze: | MEDLINE |
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