Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics
Abstract The effects of the curvature parameters on the energy eigenvalues and thermodynamic properties of quantum pseudoharmonic oscillator are investigated within the framework of nonrelativistic quantum mechanics. By employing Nikiforov-Uvarov method, the energy spectra are obtained and used to s...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-28973-7 |
| _version_ | 1811166016755990528 |
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| author | Uduakobong S. Okorie Akpan N. Ikot Ituen B. Okon Lewis F. Obagboye Ridha Horchani Hewa Y. Abdullah Karwan W. Qadir Abdel-Haleem Abdel-Aty |
| author_facet | Uduakobong S. Okorie Akpan N. Ikot Ituen B. Okon Lewis F. Obagboye Ridha Horchani Hewa Y. Abdullah Karwan W. Qadir Abdel-Haleem Abdel-Aty |
| author_sort | Uduakobong S. Okorie |
| collection | DOAJ |
| description | Abstract The effects of the curvature parameters on the energy eigenvalues and thermodynamic properties of quantum pseudoharmonic oscillator are investigated within the framework of nonrelativistic quantum mechanics. By employing Nikiforov-Uvarov method, the energy spectra are obtained and used to study the ordinary statistics and q-deformed superstatistics as a function of temperature in the presence and absence of the curvature parameters. It is shown that the q-deformed supertatistics properties of the quantum pseudoharmonic oscillator reduce to the ordinary statistical properties in the absence of the deformation parameter. Finally, our results are illustrated graphically to show the behaviour of the energy spectra and thermodynamic properties for the three curvature parameters: $$\kappa = - 1,\,\,\kappa = 1\,\,{\text{and}}\,\,\kappa = 0$$ κ = - 1 , κ = 1 and κ = 0 . |
| first_indexed | 2024-04-10T15:45:33Z |
| format | Article |
| id | doaj.art-9e1741e9f8c54f2ab8c332edbe2c4f84 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-10T15:45:33Z |
| publishDate | 2023-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-9e1741e9f8c54f2ab8c332edbe2c4f842023-02-12T12:09:07ZengNature PortfolioScientific Reports2045-23222023-02-0113111110.1038/s41598-023-28973-7Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatisticsUduakobong S. Okorie0Akpan N. Ikot1Ituen B. Okon2Lewis F. Obagboye3Ridha Horchani4Hewa Y. Abdullah5Karwan W. Qadir6Abdel-Haleem Abdel-Aty7Department of Physics, Akwa Ibom State UniversityTheoretical Physics Group, Department of Physics, University of Port HarcourtTheoretical Physics Group, Department of Physics, University of UyoTheoretical Physics Programme, National Mathematical CentreDepartment of Physics, College of Science, Sultan Qaboos UniversityPhysics Education Department, Faculty of Education, Tishk International UniversityDepartment of Physics, College of Education, Salahaddin University-ErbilDepartment of Physics, College of Sciences, University of BishaAbstract The effects of the curvature parameters on the energy eigenvalues and thermodynamic properties of quantum pseudoharmonic oscillator are investigated within the framework of nonrelativistic quantum mechanics. By employing Nikiforov-Uvarov method, the energy spectra are obtained and used to study the ordinary statistics and q-deformed superstatistics as a function of temperature in the presence and absence of the curvature parameters. It is shown that the q-deformed supertatistics properties of the quantum pseudoharmonic oscillator reduce to the ordinary statistical properties in the absence of the deformation parameter. Finally, our results are illustrated graphically to show the behaviour of the energy spectra and thermodynamic properties for the three curvature parameters: $$\kappa = - 1,\,\,\kappa = 1\,\,{\text{and}}\,\,\kappa = 0$$ κ = - 1 , κ = 1 and κ = 0 .https://doi.org/10.1038/s41598-023-28973-7 |
| spellingShingle | Uduakobong S. Okorie Akpan N. Ikot Ituen B. Okon Lewis F. Obagboye Ridha Horchani Hewa Y. Abdullah Karwan W. Qadir Abdel-Haleem Abdel-Aty Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics Scientific Reports |
| title | Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| title_full | Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| title_fullStr | Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| title_full_unstemmed | Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| title_short | Exact solutions of $$\kappa$$ κ -dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| title_sort | exact solutions of kappa κ dependent schrodinger equation with quantum pseudo harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics |
| url | https://doi.org/10.1038/s41598-023-28973-7 |
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