Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach

Abstract

The Deng-Fan-Eckart (DFE) potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules(2 H , CO , ScN and ScF) were obtained using Poisson summation method.. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational n and rotational are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng-Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods.

Information Entropies for H2 and ScF Diatomic Molecules with Deng- Fan-Eckart Potential

“…V 1 and V 2 are potential strengths. Using the Pekeris type approximation [43] for the centrifugal approximation term in the Schrödinger equation [44], Edet et al [42] derived analytical expressions for the energy values and the corresponding wave function for the DFEP using the factorization method [45] as,…”

“…Other parameters are defined in Ref. [42], Y l,m (Ω) is the angular component of the wave function [30]. Using the MATHEMATICA software [45], we obtained the normalization constant for the radial component for the ground state from Eq.…”

“…We take the experimental values of the spectroscopic parameters for each of the diatomic molecules from Ref. [42].…”

“…The quantum information-theoretic measure considered in this study is the molecular Deng-Fan-Eckart potential model (DFEP). Recently, Edet et al [42] studied the DFEP model for some selected diatomic molecules. The choice of this potential stems from the fact that it exhibits an almost exact behavior with that of the Morse potential and so makes it a good choice to the study of atomic interaction for diatomic molecules.…”

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

“…Several mathematical approaches have been developed to solve differential equations arising from these considerations. They include the supersymmetric approach [21][22][23][24], Nikiforov-Uvarov method [25][26][27], asymptotic iteration method (AIM) [28][29][30], Feynman integral formalism [31][32][33][34], factorization formalism [35,36], Formula Method [37] exact quantization rule method [38][39][40][41][42][43], proper quantization rule [44][45][46][47][48], Wave Function Ansatz Method [49] etc... The trigonometric Pöschl-Teller potential was proposed by Pöschl and Teller [50] in 1933, and it has been used in describing diatomic molecular vibration.…”