Cyclic representations of Dirac spinors in 1+1 dimensions.

Authors

  • Andrei Smirnov Universidade Federal de Sergipe
  • José Anselmo Silva Santos Universidade Federal de Sergipe

Keywords:

Dirac particle, cyclic representations, unitary transformations.

Abstract

In this work we study the Dirac spinores in 1 +1 dimensions from the point of view of cyclic representations. Various cyclic representations are defined by a choice of Dirac matrices α and β such that  e , com . For each of the representations are determined spinors for particles and antiparticles in explicit form. There were also found transformations between the spinors and the Dirac matrices in various cyclical representations in explicit form. There were also discussed some properties of the transformations and the spinors obtained.

Author Biographies

Andrei Smirnov, Universidade Federal de Sergipe

Departamento de Fisica, UFS

José Anselmo Silva Santos, Universidade Federal de Sergipe

Especialista em Matemática e licenciado em Física pela Universidade Federal de Sergipe, atualmente trabalha com física de partículas e campos

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Published

2015-03-09

How to Cite

Smirnov, A., & Silva Santos, J. A. (2015). Cyclic representations of Dirac spinors in 1+1 dimensions. Scientia Plena, 11(3). Retrieved from https://www.scientiaplena.org.br/sp/article/view/1679

Issue

Vol. 11 No. 3 (2015): March/Março 2015

Section

Articles

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