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

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Guvendi A., GÜRTAŞ DOĞAN S.

Few-Body Systems, cilt.62, sa.1, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00601-020-01588-8
  • Dergi Adı: Few-Body Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex
  • Hakkari Üniversitesi Adresli: Hayır

Özet

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.