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The solution of D+1-dimensional Dirac equation for diatomic molecules with the Morse potential

  • Regular Article - Molecular Physics and Chemical Physics
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Abstract

In this paper, the solutions of the D+1-dimensional Dirac equation in the presence of the Morse potential are investigated by using the supersymmetric quantum mechanics and shape invariance theory with spin symmetry. The bound state energy spectrum and the ground state wave function are calculated by supersymmetry approach. Also, it is shown that the energy spectrum and vibrational energy eigenvalue at the critical point can be obtained by a numerical method which is called the asymptotic iteration method. The \(X^2\Sigma ^+\) state of the CP and \(X^1\Sigma ^+\) state of the \(SiF^+\) molecules are considered, and their relativistic energy eigenvalues are studied.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data sharing is not applicable to this article as no new data were created or analyzed in this study.]

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

    Alireza Chenaghlou & Negar Ghadirian Niari

  2. Department of Sciences, Farhangian University, Tehran, Iran

    Sohrab Aghaei

Authors
  1. Alireza Chenaghlou
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  2. Sohrab Aghaei
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  3. Negar Ghadirian Niari
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Correspondence to Alireza Chenaghlou.

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Chenaghlou, A., Aghaei, S. & Ghadirian Niari, N. The solution of D+1-dimensional Dirac equation for diatomic molecules with the Morse potential. Eur. Phys. J. D 75, 139 (2021). https://doi.org/10.1140/epjd/s10053-021-00156-x

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