  In this research work, we investigate the 2D Schrodinger equation with
improved ultra-generalized exponential-hyperbolic potential (IUGE-HP) is
scrutinized taking into consideration the effects external magnetic and
Aharanov-Bohm (AB) fields within the non-relativistic quantum mechanics regime.
The Schrodinger equation in 2D for this consideration is solved using the
asymptotic iteration method (AIM) and the energy equation and eigenfunction for
the IUGE-HP in the presence of magnetic and AB fields are obtained in a compact
form. The numerical energy spectra is analyzed and it is observed that the
presence of the external fields eliminates degeneracy from the spectra and the
different values of the control parameter causes shifts in the energy spectra.
The thermal and magnetic properties of the IUGE-HP in the presence of this
external fields are duly investigated. The variations of the thermal and
magnetic properties with control parameter are analyzed for negative and
positive. The present research finds applications in condensed matter,
molecular and atomic physics respectively.
