Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential

Abstract

In this study, an approximate solution of the Schr�dinger equation for the q-deformed Hulthen-quadratic exponential-type potential model within the framework of the Nikiforov�Uvarov method was obtained. The bound state energy equation and the corresponding eigenfunction was obtained. The energy spectrum is applied to study H2, HCl, CO and LiH diatomic molecules. The effect of the deformation parameters and other potential parameters on the energy spectra of the system were graphically and numerically analyzed in detail. Special cases were considered when the potential parameters were altered, resulting in deformed Hulthen potential, Hulthen potential, deformed quadratic exponential-type potential and quadratic exponential-type potential. The energy eigenvalues expressions agreed with what obtained in literature. Finally, the results can find many applications in quantum chemistry, atomic and molecular physics.

ENERGY SPECTRA, EXPECTATION VALUES, AND THERMODYNAMICPROPERTIES OF HCl AND LiH DIATOMIC MOLECULES

“…et al [21] investigated a small number of DMs by employing the Eckart and Hellmann potential model. In addition, Obogo et al [22] examined several dynamical models with a q-deformed Hulthén potential combined with a quadratic exponential-type potential. Edet and Ikot [23] also analyzed a selected few DMs with the Deng-Fan (DF) potential.…”

The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential

“…For instance, Inyang et al [25] used Eckart and Hellmann potential function to study some selected DMs. Also, Obogo et al [26], investigated some selected DMs through the solution of SE with a combined potential using the NU method. Furthermore, Edet and Ikot [27] studied some DMs with Deng-Fan plus Eckart potentials.…”

Bound State Solutions of the Schrödinger Equation with Frost-Musulin Potential Using the Nikiforov-Uvarov-Functional Analysis (NUFA) Method

“…For instance, Inyang et al [25] combined Eckart and Hellmann potential function to study some selected diatomic molecules. Also, Obogo et al [26], investigated some selected diatomic molecules through the solution of SE with a combined potential using the NU method. In addition, Edet and Ikot, [27] studied some diatomic molecules with the shifted Deng-Fan potential.…”