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Information Theoretic Global Measures of Dirac Equation With Morse and Trigonometric Rosen–Morse Potentials

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Abstract

In this study, the information-theoretic measures of (1+1)-dimensional Dirac equation in both position and momentum spaces are investigated for the trigonometric Rosen–Morse and the Morse potentials. The solutions of the corresponding Dirac equation are obtained in an exact analytical manner in the first step. Next, using the Fourier transformation, the position and momentum Shannon information entropies are obtained and some features of the probability densities are analyzed. The consistency with Bialynicki-Birula–Mycielski inequality and Heisenberg uncertainty is checked.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    S. A. Najafizade & H. Hassanabadi

  2. Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

    S. Zarrinkamar

Authors
  1. S. A. Najafizade
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  2. H. Hassanabadi
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  3. S. Zarrinkamar
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Correspondence to S. A. Najafizade.

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Najafizade, S.A., Hassanabadi, H. & Zarrinkamar, S. Information Theoretic Global Measures of Dirac Equation With Morse and Trigonometric Rosen–Morse Potentials. Few-Body Syst 58, 149 (2017). https://doi.org/10.1007/s00601-017-1310-6

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  • DOI: https://doi.org/10.1007/s00601-017-1310-6

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