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Solutions of the Dirac and Schrödinger equations with shifted Tietz-Wei potential

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Abstract.

We solved the Dirac equation using the modified factorization method with the shifted Tietz-Wei potential model. Relativistic and non-relativistic ro-vibrational energy spectra were obtained as well as numerical solutions for different diatomic molecules (\({\rm H}_2(X^{1}\sum_{g}^{+})\), \({\rm N}_{2}(X^{1}\sum_{g}^{+})\), and \({\rm O}_{2}(X^{3}\sum_{g}^{-})\)). The eigenfunction for this potential has been obtained in terms of hypergeometric function. The energy variations were discussed graphically for different parameters of the shifted Tietz-Wei potential. Our results are in good agreement with the ones available in the literature.

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Authors and Affiliations

  1. Department of Physics, AkwaIbom State University, P.M.B. 1167, Uyo, Nigeria

    U. S. Okorie & E. E. Ibekwe

  2. Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria

    U. S. Okorie, M. C. Onyeaju & A. N. Ikot

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  1. U. S. Okorie
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  2. E. E. Ibekwe
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  3. M. C. Onyeaju
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  4. A. N. Ikot
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Correspondence to U. S. Okorie.

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Okorie, U.S., Ibekwe, E.E., Onyeaju, M.C. et al. Solutions of the Dirac and Schrödinger equations with shifted Tietz-Wei potential. Eur. Phys. J. Plus 133, 433 (2018). https://doi.org/10.1140/epjp/i2018-12307-4

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