Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules
In this paper, Fisher and Shannon information entropies in two-dimensional spaces were analysed for hydrogen diatomic molecules using a non-central exponential-type potential, both in the presence and absence of magnetic and Aharanov-Bohm (AB) flux fields. By solving the two-dimensional Schrödinger...
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Elsevier
2025-08-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379725001974 |
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| author | W.L. Chen I.B. Okon C.A. Onate C.N. Isonguyo S.A. Ekong J.P. Araujo Abeer E. Aly A.O. Anna E.S. William E.P. Inyang K.O. Emeje K.R. Purohit |
| author_facet | W.L. Chen I.B. Okon C.A. Onate C.N. Isonguyo S.A. Ekong J.P. Araujo Abeer E. Aly A.O. Anna E.S. William E.P. Inyang K.O. Emeje K.R. Purohit |
| author_sort | W.L. Chen |
| collection | DOAJ |
| description | In this paper, Fisher and Shannon information entropies in two-dimensional spaces were analysed for hydrogen diatomic molecules using a non-central exponential-type potential, both in the presence and absence of magnetic and Aharanov-Bohm (AB) flux fields. By solving the two-dimensional Schrödinger equation in the presence of charged Hamiltonian using the parametric Nikiforov-Uvarov (NU) method, we obtained numerical solutions for different potential depths for Fisher and Shannon information entropies. These results adhere to Bialynicki-Birula and Mycielski (BBM) and Fisher-based inequalities. The findings have significant applications in chemical physics, aiding in the analysis of molecular electronic properties, stability and reactivity under varying external influences. Additionally, the study contributes to quantum information by offering insights into the localisation and delocalisation phenomena, with direct applications to quantum computation, entanglement, and communication technologies. |
| format | Article |
| id | doaj-art-11f5a7b160624b72895cbcd47d9bf1e1 |
| institution | Kabale University |
| issn | 2211-3797 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj-art-11f5a7b160624b72895cbcd47d9bf1e12025-08-20T04:00:43ZengElsevierResults in Physics2211-37972025-08-017510830310.1016/j.rinp.2025.108303Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic moleculesW.L. Chen0I.B. Okon1C.A. Onate2C.N. Isonguyo3S.A. Ekong4J.P. Araujo5Abeer E. Aly6A.O. Anna7E.S. William8E.P. Inyang9K.O. Emeje10K.R. Purohit11School of Intelligent Science and Engineering, Xi’an Peihua University, ChinaTheoretical Physics Group, Department of Physics, University of Uyo, Akwa Ibom State, Nigeria; Corresponding author.Physics Department, Bowen University, Iwo, Osun State, NigeriaSchool of Intelligent Science and Engineering, Xi’an Peihua University, ChinaDepartment of Physics, Akwa Ibom State University, NigeriaDepartment of Mathematics, Instituto Federal Sudeste de Minas Gerais, Juiz de Fora-MG, BrazilPhysics Department,The Higher Canal Institute for Engineering and Technology, Suez Cairo, Egypt; Basic Science Department, The Higher technological institute, new Heliopolis, Cairo, EgyptDepartment of Science Technology, Mathematics and Education, Nasarawa State University, NigeriaDepartment of Physics, Federal University of Technology, Ikot Abasi, NigeriaDepartment of Physics, National Open University of Nigeria, Jabi, Abuja, NigeriaDepartment of Physics, Kogi State University, Anyigba, Kogi State, NigeriaInformation Technology, Silver Oak College of Engineering Technology, Silver Oak University, Ahmedabad, Gujarat 382481, IndiaIn this paper, Fisher and Shannon information entropies in two-dimensional spaces were analysed for hydrogen diatomic molecules using a non-central exponential-type potential, both in the presence and absence of magnetic and Aharanov-Bohm (AB) flux fields. By solving the two-dimensional Schrödinger equation in the presence of charged Hamiltonian using the parametric Nikiforov-Uvarov (NU) method, we obtained numerical solutions for different potential depths for Fisher and Shannon information entropies. These results adhere to Bialynicki-Birula and Mycielski (BBM) and Fisher-based inequalities. The findings have significant applications in chemical physics, aiding in the analysis of molecular electronic properties, stability and reactivity under varying external influences. Additionally, the study contributes to quantum information by offering insights into the localisation and delocalisation phenomena, with direct applications to quantum computation, entanglement, and communication technologies.http://www.sciencedirect.com/science/article/pii/S2211379725001974Schrödinger equationAharonov–Bohm flux fieldShannon entropyFisher informationExponential-type potential |
| spellingShingle | W.L. Chen I.B. Okon C.A. Onate C.N. Isonguyo S.A. Ekong J.P. Araujo Abeer E. Aly A.O. Anna E.S. William E.P. Inyang K.O. Emeje K.R. Purohit Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules Results in Physics Schrödinger equation Aharonov–Bohm flux field Shannon entropy Fisher information Exponential-type potential |
| title | Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules |
| title_full | Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules |
| title_fullStr | Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules |
| title_full_unstemmed | Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules |
| title_short | Fisher and Shannon information entropies in 2-dimension for a non-central potential as applied to hydrogen diatomic molecules |
| title_sort | fisher and shannon information entropies in 2 dimension for a non central potential as applied to hydrogen diatomic molecules |
| topic | Schrödinger equation Aharonov–Bohm flux field Shannon entropy Fisher information Exponential-type potential |
| url | http://www.sciencedirect.com/science/article/pii/S2211379725001974 |
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