Exact solutions of vector bosons in the presence of the Aharonov-Bohm and Coulomb potentials in the gravitational field of topological defects in non-commutative space-time

• A. Boumali ^[1] ; H. Aounallah ^[1]
  1. [1] Université Larbi Tébessi -Tébessa-, W. Tébessa, Algeria
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 66, Nº. 2, 2020, págs. 192-208
• Idioma: inglés
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• Resumen

  • In this work, we analyze the relativistic quantum motion of a charged vector particle in the presence of an Aharonov-Bohm (AB) and Coulomb potentials in the non-commutative space-time produced by idealized cosmic strings and global monopoles via the well-know Duffin-KemmerPetiau equation. With the help of Wigner functions, we have solved the system in both P = (−1)^(j+1) and P = (−1)^(j) parity. The expressions for the bound state energies and wave functions in both commutative and non-commutative spaces have been obtained.