Dirac pair in magnetized elliptic wormhole

Gürtaş Doğan S.

Annals of Physics, vol.454, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 454
  • Publication Date: 2023
  • Doi Number: 10.1016/j.aop.2023.169344
  • Journal Name: Annals of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Dirac pair, Quantum electrodynamics, Quantum gravity, Quasinormal mode, Weyl pair, Wormhole
  • Hakkari University Affiliated: Yes


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 × 4 dimensional matrix equation for the considered system. We show that the matrix equation results in a non-perturbative second order wave equation. 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.