Article Sidebar
Published:
Nov 4, 2024Keywords:
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
To post a copy of the accepted Article on his/her own website, an institutional repository or his/her funding body’s designated archive. An Author(s) who archives or self-archives accepted articles must provide a hyperlink from the Article to the Journal’s website. That the Author(s) and any academic institution where he/she works at the time may reproduce the Article for the purpose of course teaching. To reuse all or part of the Article in other works created by the Author(s) for noncommercial purposes provided the original publication in a Physics Access is acknowledged through a note or citation in a format acceptable to Physics Access.
Main Article Content
Bound State Solutions and Energy Spectrum of the Schrödinger Equation for Core-Shell Polystyrene/Silver Nanoparticle with Born-Mayer Potential Using Nikiforov-Uvarov Method
Abstract
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.
