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

Abstract

In this paper, we obtain the exact solutions of Duffin-Kemmer-Petiau equation spin-1 in thepresence of the Aharonov-Bohm and Coulomb potential in the gravitational field of cosmic stringand a global monopole, we are study the DKP equation in commutative space-time, We separatedthe variables with the help of Wigner functions and the parity operator, We solved the system ofthe second order differential equation in the case of P = (−1) j+1 , but in the case of P = (−1) j wesolved the system in j = 0. The spectrum of energy in the gravitational field of cosmic string and aglobal monopole are different, and the commutation relation of the angular momentum are obviouslydifferent from Pauli criterion in the Aharonov-Bohm effect, in spin-0 and spin-1 we have the non-commutativity energy by the perturbation theory, the energy is transition from commutative tonon-commutative spac