Relativistic Dynamics of Oppositely Charged Two Fermions Interacting with External Uniform Magnetic Field


Güvendi A. , Dogan S. G.

Few-Body Systems, vol.62, 2021 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 62
  • Publication Date: 2021
  • Doi Number: 10.1007/s00601-020-01588-8
  • Title of Journal : Few-Body Systems

Abstract

© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature.We investigated the relativistic dynamics of oppositely charged two fermions interacting with an external uniform magnetic field, without considering any charge-charge interaction between the fermions. We chose the interaction of each fermion with the external magnetic field in the symmetric gauge, and obtained a precise solution of the corresponding fully-covariant two-body Dirac equation that derived from Quantum Electrodynamics via Action principle. The dynamic symmetry of the system we deal with allowed us to determine the relativistic Landau levels of such a spinless composite system, without using any group theoretical method. As a result, we determined the eigenfunctions and eigenvalues of the corresponding two-body Dirac Hamiltonian.