Klein–Gordon oscillator in the presence of harmonic-like potentials in the rotating cosmic string space–time

The analytical solutions of the Klein–Gordon oscillator with harmonic-like potential namely, the pseudoharmonic and exponential pseudoharmonic potentials under the influence of rotating cosmic string space–time are obtained via the Nikiforov–Uvarov functional Analysis (NUFA) and extended Nikiforov–Uvarov (ENU) methods and the associated eigenfunction are expressed in terms of confluent hypergeometric and confluent Heun functions, respectively. The solution of the energy and wave function was applied to investigate the thermodynamics function variations with cosmic string parameter, quantum numbers and temperature, respectively. The results reveal that the energy eigenvalues and wave function amplitudes are influenced by the quantum numbers and the cosmic string parameters. The thermodynamic plots exhibit high dependency on the temperature and cosmic string parameters considered.