Thermal properties of coulomb-type potentials in a magnetic field using the Phase – Integral model

Abstract

The work examined some Coulomb-type potentials under the influence of magnetic field potential and some select thermodynamic functions. The combination of the chosen Coulomb-type potentials and the magnetic field formed the generalized potentials which were put into the time independent radial Schrodinger equation and solution for the energy eigenvalues obtained using the Phase – Integral model. Four thermodynamic functions were considered and the results showed that an increase in the reduced parameters and magnetic field brings about a depreciation of the generalized potentials and the thermodynamic functions as well as the removal of degeneracy and integer decrease in the energy eigenvalues. The study also showed the change of the property of entropy in the classical domain as it enters the quantum mechanical system.