Conformable Schrodinger Equation with Pseudoharmonic Potential and Its Thermodynamic Properties

In this work, the Nikiforov-Uvarov (NU) method is used to obtain the exact solution of the conformable radial Schrödinger equation (SE) for the pseudoharmonic potential. We derive both the energy states and the corresponding wave functions, and the results are compared with those in the existing literature for the case of the traditional derivative (α=1). Additionally, the obtained energy states are used to calculate the conformable partition function in the classical limit. Thermodynamic properties, including the conformable Helmholtz free energy, conformable mean energy, conformable entropy, and conformable specific heat capacity, are calculated and analyzed for N2 and CO molecules.