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The Exact Solution for the Dirac Equation with the Cornell Potential

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Abstract

An analytical solution of the Dirac equation with a Cornell potential, with identical scalar and vectorial parts, is presented. The solution is obtained by using the linear potential solution, related to Airy functions, multiplied by another function to be determined. The energy levels are obtained and we notice that they obey a band structure.

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Authors and Affiliations

  1. Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84010-790, Ponta Grossa, PR, Brazil

    L. A. Trevisan & F. M. Andrade

  2. UFVJM, Campus Teofilo Otoni, Ponta Grossa, Brazil

    Carlos Mirez

Authors
  1. L. A. Trevisan
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  2. Carlos Mirez
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  3. F. M. Andrade
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Corresponding author

Correspondence to L. A. Trevisan.

Additional information

L. A. Trevisan and F. M. Andrade thanks the Fundação Araucária and Setor de Ciências Exatas e Naturais for support.

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Trevisan, L.A., Mirez, C. & Andrade, F.M. The Exact Solution for the Dirac Equation with the Cornell Potential. Few-Body Syst 55, 1055–1056 (2014). https://doi.org/10.1007/s00601-013-0766-2

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  • DOI: https://doi.org/10.1007/s00601-013-0766-2

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