2020
DOI: 10.1007/s10910-020-01107-4
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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.. … Show more

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Cited by 83 publications
(44 citation statements)
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“…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,…”
Section: Eigensolution Of Dfepmentioning
confidence: 99%
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“…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,…”
Section: Eigensolution Of Dfepmentioning
confidence: 99%
“…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.…”
Section: Eigensolution Of Dfepmentioning
confidence: 99%
See 2 more Smart Citations
“…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.…”
Section: Introductionmentioning
confidence: 99%