Spectral and thermodynamic properties of a particle in multiparameter exponential-type radial potential

The solutions of the radial Schrödinger equation for a multiparameter potential of the exponential type are obtained using two traditional methods. The energy equation obtained was used to study both virial theorem and thermodynamic properties. The energy eigenvalues obtained for the potential and its subset potentials arecompletely bounded. The computed virial theorem depends on the parameters A, B, and V. The result also shows that the three parameters A, B, and V exhibit different features on the thermodynamic properties with V having the same variation for all the thermodynamic functions.