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Okon IB, Onate CA, Horchani R, Popoola OO, Omugbe E, William ES, Okorie US, Inyang EP, Isonguyo CN, Udoh ME, Antia AD, Chen WL, Eyube ES, Araujo JP, Ikot AN. Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods. Sci Rep 2023; 13:8193. [PMID: 37210425 DOI: 10.1038/s41598-023-34521-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2023] [Accepted: 05/03/2023] [Indexed: 05/22/2023] Open
Abstract
Thermomagnetic properties, and its effects on Fisher information entropy with Schioberg plus Manning-Rosen potential are studied using NUFA and SUSYQM methods in the presence of the Greene-Aldrich approximation scheme to the centrifugal term. The wave function obtained was used to study Fisher information both in position and momentum spaces for different quantum states by the gamma function and digamma polynomials. The energy equation obtained in a closed form was used to deduce numerical energy spectra, partition function, and other thermomagnetic properties. The results show that with an application of AB and magnetic fields, the numerical energy eigenvalues for different magnetic quantum spins decrease as the quantum state increases and completely removes the degeneracy of the energy spectra. Also, the numerical computation of Fisher information satisfies Fisher information inequality products, indicating that the particles are more localized in the presence of external fields than in their absence, and the trend shows complete localization of quantum mechanical particles in all quantum states. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. Our potential reduces to Schioberg and Manning-Rosen potentials as special cases. The energy equations obtained from the NUFA and SUSYQM were the same, demonstrating a high level of mathematical precision.
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Affiliation(s)
- I B Okon
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - C A Onate
- Department of Physics, Kogi State University, Anyigba, Nigeria
| | - R Horchani
- Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman.
| | - O O Popoola
- Department of Physics, University of Ibadan, Ibadan, Nigeria
| | - E Omugbe
- Department of Physics, University of Agriculture and Environmental Sciences, Umuagwo, P.M.B. 1038, Imo State, Nigeria
| | - E S William
- Department of Physics, Federal University of Technology, Ikot Abasi, Nigeria
| | - U S Okorie
- Department of Physics, Akwa Ibom State University, Mkpat-Enin, Nigeria
| | - E P Inyang
- Department of Physics, National Open University of Nigeria, Jabi-Abuja, Nigeria
| | - C N Isonguyo
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - M E Udoh
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - A D Antia
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - W L Chen
- School of Intelligent Science and Information Engineering, Xi'an Peihua University, Xi'an, 710125, China
| | - E S Eyube
- Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
| | - J P Araujo
- Department of Mathematics, Instituto Federal de Educação, Ciência e Tecnologia do Sudeste de Minas Gerais, Juiz de Fora, Brazil
| | - A N Ikot
- Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
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William ES, Okon IB, Inyang EP, Akpan IO, Ita B, Nwachukwu AN, Onate CA, Omugbe E, Okorie US, Araujo JP, Ikot AN. Quantum description of magnetocaloric effect, thermo-magnetic properties and energy spectra of LiH, TiH, and ScH diatomic molecules under the influence of magnetic and Aharonov-Bohm (AB) flux fields with Deng-Fan-Screened Coulomb potential model. Mol Phys 2023. [DOI: 10.1080/00268976.2023.2195952] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/31/2023]
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Okon IB, Onate CA, Omugbe E, Okorie US, Edet CO, Antia AD, Araujo JP, Isonguyo CN, Onyeaju MC, William ES, Horchani R, Ikot AN. Aharonov–Bohm (AB) flux and thermomagnetic properties of Hellmann plus screened Kratzer potential as applied to diatomic molecules using Nikiforov–Uvarov-Functional-Analysis (NUFA) method. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2046295] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- I. B. Okon
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - C. A. Onate
- Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria
| | - E. Omugbe
- Department of Physics, Federal University of Petroleum Resources, Effurun, Nigeria
| | - U. S. Okorie
- Department of Physics, Akwa Ibom State University, Uyo, Nigeria
| | - C. O. Edet
- Department of Physics, Cross River University of Technology, Calabar, Nigeria
| | - A. D. Antia
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - J. P. Araujo
- Department of Mathematics, Instituto Federal do Sudeste de Minas Gerais, Juiz de Fora, Brazil
| | - C. N. Isonguyo
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - M. C. Onyeaju
- Department of Physics, Cross River University of Technology, Calabar, Nigeria
| | - E. S. William
- Theoretical Physics Group, Department of Physics, University of Calabar, Calabar, Nigeria
| | - R. Horchani
- Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman
| | - A. N. Ikot
- Theoretical Physics Group, Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
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An experimental proposal to test the physical effect of the vector potential. Sci Rep 2016; 6:19996. [PMID: 26822526 PMCID: PMC4995608 DOI: 10.1038/srep19996] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2015] [Accepted: 12/22/2015] [Indexed: 11/17/2022] Open
Abstract
There are two interpretations of the Aharonov–Bohm (A–B) effect. One interpretation asserts that the A–B effect demonstrates that the vector potential is a physical reality that can result in the phase shift of a moving charge in quantum mechanics. The other interpretation asserts that the phase shift of the moving charge results from the interaction energy between the electromagnetic field of the moving charge and external electromagnetic fields. This paper briefly reviews these two interpretations and analyzes their differences. In addition, a new experimental scheme is proposed to determine which interpretation is correct.
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