Effects of Topological Defects and AB Fields on the Thermal Properties, Persistent Currents and Energy Spectra with an Exponential-Type Pseudoharmonic Potential

The Schrodinger equation with exponential-type pseudo-harmonic oscillator in the global monopole space-time is solved using extended Nikiforov-Uvarov (ENU) method. The energy spectrum of the Klein-Gordon oscillator for the exponential-type pseudo-harmonic oscillator is obtained in closed form, and the corresponding wave function is determined using the biconfluent Heun differential equation. Special cases are deduced and some graphical results are shown to illustrate the variation of the energy levels with topological defect, screening parameter, magnetic field flux, and quantum numbers. In addition, the thermodynamic function expressions for the exponential-type pseudo-harmonic oscillator are obtained in closed form, and their variations with temperature are discussed extensively for various values of the potential and Klein-Gordon oscillator parameters. Our results agree with those obtained in the literatures.