Klein-Gordon Oscillator with Magnetic and Quantum Flux Fields in Non-Trivial Topological Space-Time


 The relativistic quantum motions of the oscillator field (via the Klein-Gordon oscillator equation) under a uniform magnetic field in a topologically non-trivial space-time geometry are analyzed. We solve the Klein-Gordon oscillator equation using the Nikiforov-Uvarov method and obtain the energy profile and wave function. We discuss the effects of the non-trivial topology and the magnetic field on the energy eigenvalues. We see that the energy eigenvalues depend on the magnetic flux field that shows an analogue of the Aharonov-Bohm effect. Furthermore, we obtain the persistent currents, the magnetization, and the magnetic susceptibility at Zero temperature defined in a state. We see that the magnetic properties of the quantum system get modified by the various factor in them