Abstract
By employing the Nikiforov-Uvarov (NU) method, we solved the time-independent Schrödinger equation (SE) with Manning-Rosen plus a class of Yukawa potential (MRCYP) model. The eigensolutions expressions were obtained and thermodynamic function expressions were also obtained using Euler MacLaurin formula in closed forms. Numerical results of the energy were obtained with respect to different screening parameters and quantum numbers. In addition, the effects of temperature on the thermodynamic functions were discussed for various screening parameters and quantum states. Unique critical temperatures of entropy and specific heat capacity were seen to exist for the selected screening parameters and quantum numbers. Our results are also in sync with the results in literatures and they promise to be relevant in various areas of studies, including atomic, particle and nuclear physics.
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