In this paper, the energy spectra of the general molecular potential are obtained using the asymptotic iteration method within the framework of non-relativistic quantum mechanics.With the energy spectrum obtained, the vibrational partition function is calculated in a closed form and is used to obtain an expression for other thermodynamic functions such as vibrational mean energy U , vibrational mean free energy F, vibrational entropy S and vibrational specific heat capacity C. These thermodynamic functions are studied for the electronic state X 1 + g of K 2 diatomic molecules.
In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schrödinger equation in the presence of the DFPEP in the non-relativistic limits. In addition, we calculate in the nonrelativistic limits the thermodynamics properties such as vibrational mean energy U,free energy F and the specific heat capacity C . Special cases of the potential are also discussed.
The Pekeris approximate scheme is introduced to deal with the centrifugal term in a Dirac equation with the deformed Hylleraas plus Woods-Saxon (DHWS) potential model. The relativistic energy solutions for the spin and pseudospin symmetries are obtained via the Nikiforov-Uvarov (NU) method. In the non-relativistic limits we calculated the thermodynamics properties for some selected diatomic molecules.
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