Influence of non-uniform magnetic field on magnetic susceptibility, heat capacity, electronic and optical properties of a charged particle

In the work, a charged particle under influence of non-uniform external magnetic field has been considered. First, the Schrödinger equation is solved by emplying the Nikiforov–Uvarov (NU) method and derived analytically the energy states and wave functions. Then, we have studied magnetic susceptibility, heat capacity, electronic and optical properties of the system. It is found that energy levels, optical properties, heat capacity and magnetic susceptibility depend strongly on the effect of non-uniform magnetic field. With changing the non-uniform magnetic field, the system can be shown diamagnetic or paramagnetic behavior. The heat capacity displays the peak structure under effect of non-uniform magnetic field. The refractive index change and absorption coefficient increase and their peaks shift toward higher energies under non-uniform magnetic field.