Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method
In this paper, the Born-Mayer potential is used to describe the core-shell polystyrene nanoparticle and the Schrodinger equation for this nanoparticle is solved rigorously using the Nikiforov-Uvarov (NU) method to obtain the exact bound state solutions and energy spectrum. This is achieved by ins...
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| Format: | Article |
| Language: | English |
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Department of Physics, Kaduna State University, Nigeria
2023-11-01
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| Series: | Physics Access |
| Subjects: | |
| Online Access: | https://physicsaccess.com/articles/published/PA-JPET-Vol%203-Issue%202_152.pdf |
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| author | Imrana M Habibat Patrick O Akusu Jibrin A Yabagi Baba Alfa Ndanusa Babakatcha Muhammad B Ladan Yakubu Adamu |
| author_facet | Imrana M Habibat Patrick O Akusu Jibrin A Yabagi Baba Alfa Ndanusa Babakatcha Muhammad B Ladan Yakubu Adamu |
| author_sort | Imrana M Habibat |
| collection | DOAJ |
| description | In this paper, the Born-Mayer potential is used to describe the core-shell polystyrene
nanoparticle and the Schrodinger equation for this nanoparticle is solved rigorously using the
Nikiforov-Uvarov (NU) method to obtain the exact bound state solutions and energy spectrum.
This is achieved by inserting the Born-Mayer potential into the Time Independent Schrödinger
Equation (TISE), obtaining the radial part and solving, exactly, for the expectation values of
the energy spectrum and the corresponding eigenfunctions applying the Nikiforov Uvarov
(NU) method. The eigenvalue expression obtained is similar to earlier work on Soliton solution
in nonlinear lattice with the nearest neighbor Born-Mayer interaction |
| first_indexed | 2024-03-08T16:28:02Z |
| format | Article |
| id | doaj.art-2770785d002e4757b533ee305e48ab52 |
| institution | Directory Open Access Journal |
| issn | 2714-500X 2756-3898 |
| language | English |
| last_indexed | 2024-03-08T16:28:02Z |
| publishDate | 2023-11-01 |
| publisher | Department of Physics, Kaduna State University, Nigeria |
| record_format | Article |
| series | Physics Access |
| spelling | doaj.art-2770785d002e4757b533ee305e48ab522024-01-06T12:00:41ZengDepartment of Physics, Kaduna State University, NigeriaPhysics Access2714-500X2756-38982023-11-0132626710.47514/phyaccess.2023.3.2.010Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method Imrana M Habibat0Patrick O Akusu1Jibrin A Yabagi2Baba Alfa3Ndanusa Babakatcha4Muhammad B Ladan5Yakubu Adamu6Department of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaDepartment of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, Nigeria Department of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaDepartment of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaDepartment of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaDepartment of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaDepartment of Physics, Ibrahim Badamasi Babangida University Lapai, Niger State, NigeriaIn this paper, the Born-Mayer potential is used to describe the core-shell polystyrene nanoparticle and the Schrodinger equation for this nanoparticle is solved rigorously using the Nikiforov-Uvarov (NU) method to obtain the exact bound state solutions and energy spectrum. This is achieved by inserting the Born-Mayer potential into the Time Independent Schrödinger Equation (TISE), obtaining the radial part and solving, exactly, for the expectation values of the energy spectrum and the corresponding eigenfunctions applying the Nikiforov Uvarov (NU) method. The eigenvalue expression obtained is similar to earlier work on Soliton solution in nonlinear lattice with the nearest neighbor Born-Mayer interactionhttps://physicsaccess.com/articles/published/PA-JPET-Vol%203-Issue%202_152.pdfpolystyrenenanoparticlesnikiforov uvarovcore-shellborn-mayer potential |
| spellingShingle | Imrana M Habibat Patrick O Akusu Jibrin A Yabagi Baba Alfa Ndanusa Babakatcha Muhammad B Ladan Yakubu Adamu Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method Physics Access polystyrene nanoparticles nikiforov uvarov core-shell born-mayer potential |
| title | Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method |
| title_full | Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method |
| title_fullStr | Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method |
| title_full_unstemmed | Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method |
| title_short | Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method |
| title_sort | bound state solutions and energy spectrum of the schrodinger equation for core shell polystyrene silver nanoparticle with born mayer potential using nikiforov uvarov method |
| topic | polystyrene nanoparticles nikiforov uvarov core-shell born-mayer potential |
| url | https://physicsaccess.com/articles/published/PA-JPET-Vol%203-Issue%202_152.pdf |
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