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Updated: Dec 21, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Bound state solutions of the Schrödinger equation and its application to some diatomic molecules
C A Onate1, A Abolarinwa2, S O Salawu2
1Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria. onate.clement@lmu.edu.ng.
Abstract:
We apply the supersymmetric quantum mechanics and shape invariance approach to obtain the solutions of the 3-dimensional Schrödinger equation in the presence of a newly proposed potential model called hyperbolic-sinus potential function for any ℓ-state. Rotational-vibrational energy eigenvalues of some diatomic molecules are numerically calculated. Special cases of interest of the hyperbolic-sinus potential function are also studied. Our results indicated that the energy eigenvalue is highly sensitive to the potential parameters.
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