Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential
In this study, the analytical solution of the Schrödinger equation for the Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential via the methodology of the supersymmetric approach was obtained. The energy equation and its corresponding wave functions were fully calculated. The theo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2022-08-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://sjst.psu.ac.th/journal/44-4/23.pdf |
| _version_ | 1797843763164348416 |
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| author | Clement Atachegbe Onate Babatunde James Falaye Abimbola Abolarinwa |
| author_facet | Clement Atachegbe Onate Babatunde James Falaye Abimbola Abolarinwa |
| author_sort | Clement Atachegbe Onate |
| collection | DOAJ |
| description | In this study, the analytical solution of the Schrödinger equation for the Trigonometric Inversely Quadratic plus
Coulombic Hyperbolic Potential via the methodology of the supersymmetric approach was obtained. The energy equation and its
corresponding wave functions were fully calculated. The theoretic quantities such as Shannon entropy and Fisher information
were calculated using the normalized radial wave function. The results obtained for Shannon entropy satisfied Beckner,
Bialynicki-Birula and Mycieslki (BBM) principle and Cramer Rao uncertainty inequality for Fisher information. These results
are in excellent agreement with those in the literature. The result of our study goes against the observation pointed out by Okon et
al. in their recent paper, who claimed that information entropic measures cannot be studied under Trigonometric Inversely
Quadratic plus Coulombic Hyperbolic Potential. |
| first_indexed | 2024-04-09T17:12:17Z |
| format | Article |
| id | doaj.art-2c91e55e17304846a909c3ad75821cd8 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-04-09T17:12:17Z |
| publishDate | 2022-08-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-2c91e55e17304846a909c3ad75821cd82023-04-20T05:00:03ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952022-08-014441099110810.14456/sjst-psu.2022.143Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic PotentialClement Atachegbe Onate0Babatunde James Falaye1Abimbola Abolarinwa2Department of Physics, Kogi State University, Anyigba, NigeriaDepartment of Physics, Federal University Lafia, Lafia, NigeriaDepartment of Mathematics, University of Lagos, Akoka, Lagos state NigeriaIn this study, the analytical solution of the Schrödinger equation for the Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential via the methodology of the supersymmetric approach was obtained. The energy equation and its corresponding wave functions were fully calculated. The theoretic quantities such as Shannon entropy and Fisher information were calculated using the normalized radial wave function. The results obtained for Shannon entropy satisfied Beckner, Bialynicki-Birula and Mycieslki (BBM) principle and Cramer Rao uncertainty inequality for Fisher information. These results are in excellent agreement with those in the literature. The result of our study goes against the observation pointed out by Okon et al. in their recent paper, who claimed that information entropic measures cannot be studied under Trigonometric Inversely Quadratic plus Coulombic Hyperbolic Potential.https://sjst.psu.ac.th/journal/44-4/23.pdfeigensolutionswave equationsbound statesfisher informationshannon entropy |
| spellingShingle | Clement Atachegbe Onate Babatunde James Falaye Abimbola Abolarinwa Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential Songklanakarin Journal of Science and Technology (SJST) eigensolutions wave equations bound states fisher information shannon entropy |
| title | Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential |
| title_full | Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential |
| title_fullStr | Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential |
| title_full_unstemmed | Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential |
| title_short | Information entropic measures for a trigonometric inversely quadratic plus Coulombic Hyperbolic Potential |
| title_sort | information entropic measures for a trigonometric inversely quadratic plus coulombic hyperbolic potential |
| topic | eigensolutions wave equations bound states fisher information shannon entropy |
| url | https://sjst.psu.ac.th/journal/44-4/23.pdf |
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