Ro-vibrational energies of the shifted Deng-Fan oscillator potential with Feynman path integral formalism

H. Boukabcha, M. Hachama and A. Diaf

Applied Mathematics and Computation, 2018, vol. 321, issue C, 121-129

Abstract: In this paper, we derive approximate analytical solutions of the D-dimension Feynman propagator in presence of the shifted Deng-Fan oscillator by using an appropriate approximation of the centrifugal term. Energy eigenvalues and the corresponding eigenfunctions are obtained for different quantum numbers and some diatomic molecules. In the three-dimensional case, we calculate the energy level values and compare our results with those given in the literature. Our calculated energy levels are in much better agreement with the ones obtained numerically.

Keywords: Shifted Deng-Fan oscillator potential; ℓ-states; Feynman propagator (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:121-129

DOI: 10.1016/j.amc.2017.10.044

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