Dirac particle in 1+1 dimensions subject to a exponential scalar potential

Authors

  • A. Smirnov Departamento de Física, Universidade Federal de Sergipe
  • A. D. de Oliveira Alves Departamento de Física, Universidade Federal de Sergipe

Keywords:

Dirac particle, scalar potential, Laguerre polynomials.

Abstract

In the article the Dirac particle in 1+1 dimensions subject to the exponential scalar potential is considered. There were found exact solutions of the Dirac equation and energy spectrum of the particle. For the case of discrete spectrum the exact solutions are represented by generalized Laguerre polynomials. There was shown that at least one bound state with energy different from zero always exists. A number of bound states is limited and is determined by the parameters of the problem as {equation in the text}. It was also demonstrated that the zero energy state always exists. For all states the normalization factor was found explicitely. Besides that various useful relations for generalized Laguerre polynomials were determined.

Author Biography

A. Smirnov, Departamento de Física, Universidade Federal de Sergipe


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How to Cite

Smirnov, A., & Alves, A. D. de O. (2011). Dirac particle in 1+1 dimensions subject to a exponential scalar potential. Scientia Plena, 5(11). Retrieved from https://scientiaplena.emnuvens.com.br/sp/article/view/745

Issue

Vol. 5 No. 11 (2009): November/Novembro 2009

Section

Articles

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