Dirac pair in magnetized elliptic wormhole

In this manuscript, we investigate the evolution of a Dirac pair in a magnetized elliptic wormhole by solving the associated form of the covariant two-body Dirac equation. This equation includes spin algebra spanned by direct product of the generalized Dirac matrices and accordingly it leads 4 x 4 dimensional matrix equation for the considered system. We show that the matrix equation results in a non-perturbative second order wave equa-tion. Solution of the wave equation is obtained in terms of the Confluent Heun function and then we try to obtain an energy expression. We observe that the evolution of the system depends on the parameters of the background as well as the magnetic field. Then, we analyse the results in detail.& COPY; 2023 Elsevier Inc. All rights reserved.

Automated summary

In this manuscript, the evolution of a Dirac pair in a magnetized elliptic wormhole is investigated by solving the associated form of the covariant two-body Dirac equation. The matrix equation resulted in a non-perturbative second order wave equation, which was solved using the Confluent Heun function. An energy expression for the system was obtained. The evolution of the system was found to depend on the parameters of the background as well as the magnetic field.