The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential
The relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schiöberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximatio...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/6621156 |
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| _version_ | 1832565251302752256 |
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| author | Muhammad Roshanzamir |
| author_facet | Muhammad Roshanzamir |
| author_sort | Muhammad Roshanzamir |
| collection | DOAJ |
| description | The relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schiöberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximation scheme. The energy spectra and the corresponding normalized wave functions are derived regarding the hypergeometric function in a closed form for arbitrary ℓ-state. Numerical results of the energy eigenvalue are proposed. Moreover, special circumstances of this potential are reviewed, and their energy eigenvalues were assessed. Subsequently, the Tsallis entropy and Rényi entropy both in position and momentum spaces are defined under the desired potential. The impacts of these entropies on the angular momentum quantum number are explored in detail. |
| format | Article |
| id | doaj-art-9e334c1d13e24454ab049406581caf8b |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9e334c1d13e24454ab049406581caf8b2025-02-03T01:08:58ZengWileyAdvances in High Energy Physics1687-73652022-01-01202210.1155/2022/6621156The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular PotentialMuhammad Roshanzamir0Division of Elementary Particles and Field TheoryThe relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schiöberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximation scheme. The energy spectra and the corresponding normalized wave functions are derived regarding the hypergeometric function in a closed form for arbitrary ℓ-state. Numerical results of the energy eigenvalue are proposed. Moreover, special circumstances of this potential are reviewed, and their energy eigenvalues were assessed. Subsequently, the Tsallis entropy and Rényi entropy both in position and momentum spaces are defined under the desired potential. The impacts of these entropies on the angular momentum quantum number are explored in detail.http://dx.doi.org/10.1155/2022/6621156 |
| spellingShingle | Muhammad Roshanzamir The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential Advances in High Energy Physics |
| title | The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential |
| title_full | The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential |
| title_fullStr | The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential |
| title_full_unstemmed | The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential |
| title_short | The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential |
| title_sort | information theoretic treatment of spinless particles with the assorted diatomic molecular potential |
| url | http://dx.doi.org/10.1155/2022/6621156 |
| work_keys_str_mv | AT muhammadroshanzamir theinformationtheoretictreatmentofspinlessparticleswiththeassorteddiatomicmolecularpotential AT muhammadroshanzamir informationtheoretictreatmentofspinlessparticleswiththeassorteddiatomicmolecularpotential |