Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential
G.J.Rampho, A.N.Ikot, C.O.Edet, U.S.Okorie

TL;DR
This study explores the energy spectra and thermodynamic properties of diatomic molecules modeled by an improved Kratzer potential under magnetic and Aharonov-Bohm fields, revealing how these fields influence degeneracy and molecular behavior.
Contribution
It provides exact solutions for the energy spectra of diatomic molecules with the improved Kratzer potential in external fields, including the effects of the control parameter and field interactions.
Findings
Magnetic and AB fields lift degeneracy in energy levels.
The control parameter significantly affects thermodynamic properties.
External fields alter magnetic responses of molecules.
Abstract
In the present study, the improved screened Kratzer potential (ISKP) is investigated in the presence of external magnetic and Aharanov-Bohm (AB) fields within the framework of non-relativistic quantum mechanics. The Schrodinger equation is solved via the Nikiforov-Uvarov Functional Analysis (NUFA) method and the energy spectra and the corresponding wave function for the ISKP in the presence of external magnetic fields are obtained in a closed form. The obtained energy spectra are used to study three selected diatomic molecules (H2, HCl and LiH). It is observed that the present of the magnetic and AB fields removes the degeneracy for different values of the control parameter. The thermodynamic and magnetic properties of the ISKP in the present of the magnetic and AB fields are also evaluated. The effects of the control potential parameter on the thermodynamic and magnetic properties of…
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