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A 2D Schrodinger equation with interacting Mobius square potential model issolved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The energyspectra and the corresponding wave function for the linearly and exponentiallyvarying quantum magnetic flux are obtained analytically in a closed form. Theevaluated energy spectra are used to obtain an expression for the partitionfunctions for the two cases comprises of the linearly and exponentially varyingquantum magnetic flux and vis-a-vis is use to evaluate other thermodynamic andmagnetic properties for the system. The results are used to study the freeenergy, mean energy, the entropy, specific heat, magnetization, magneticsusceptibility and the persistent current of the system. The numerical boundstate energies are computed.

Quantum flux effects on the energy spectra and thermo-magnetic properties in 2D Schrodinger equation with Mobius square potential