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

Creative Commons License


Few-Body Systems, vol.62, no.1, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s00601-020-01588-8
  • Journal Name: Few-Body Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex
  • Hakkari University Affiliated: No


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.