Physics Access

A Journal of Physics and Emerging Technologies

A Publication of the Department of Physics, Kaduna State University, Nigeria.
ISSN Online: 2756-3898
ISSN Print: 2714-500X

Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Si

Imrana M Habibat, Patrick O Akusu, Jibrin A Yabagi, Baba Alfa, Ndanusa Babakatcha, Muhammad B Ladan
2023-11-02 239 views 1 downloads


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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