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

Author

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  • Boukabcha, H.
  • Hachama, M.
  • Diaf, A.

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.

Suggested Citation

  • Boukabcha, H. & Hachama, M. & Diaf, A., 2018. "Ro-vibrational energies of the shifted Deng-Fan oscillator potential with Feynman path integral formalism," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 121-129.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:121-129
    DOI: 10.1016/j.amc.2017.10.044
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