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Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method

Article scientifique 2023 Anglais

Résumé

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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Imrana, H., Akusu, P., Yabagi, J., Alfa, B., Babakatcha, N., Ladan, M., Adamu, Y. (2023). Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method. https://doi.org/10.47514/phyaccess.2023.3.2.010

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Auteur(s)

Habibat M Imrana Patrick Ovie Akusu Jibrin Alhaji Yabagi Baba Alfa Ndanusa Babakatcha Muhammad Bello Ladan Yakubu Adamu

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