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...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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 |
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| ISSN: | 2714-500X 2756-3898 |