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arXiv · 1312.4212

The exact solution for the Dirac equation with the Cornell potential

L. A. Trevisan·C. Mirez·F. M. Andrade
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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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L. A. Trevisan, C. Mirez, F. M. Andrade. 2013-12-16. The exact solution for the Dirac equation with the Cornell potential. https://doi.org/10.1007/s00601-013-0766-2

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