Resumo

BOUMALI, A.  e  AOUNALLAH, H.. 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. Rev. mex. fis. [online]. 2020, vol.66, n.2, pp.192-208.  Epub 26-Mar-2021. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.192.

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.

Palavras-chave : DKP equation; Aharonov-Bohm potential; topological defects; non-commutative-space; 33.15.Ta.

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