  A 2D Schrodinger equation with interacting Mobius square potential model is
solved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The energy
spectra and the corresponding wave function for the linearly and exponentially
varying quantum magnetic flux are obtained analytically in a closed form. The
evaluated energy spectra are used to obtain an expression for the partition
functions for the two cases comprises of the linearly and exponentially varying
quantum magnetic flux and vis-a-vis is use to evaluate other thermodynamic and
magnetic properties for the system. The results are used to study the free
energy, mean energy, the entropy, specific heat, magnetization, magnetic
susceptibility and the persistent current of the system. The numerical bound
state energies are computed.
