The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
arXiv:2009.06380 · doi:10.1007/s00601-020-01588-8
Abstract
We investigated the relativistic dynamics of oppositely charged two fermions interacting with an external uniform magnetic field. 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
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References in corpus (31)
- Magnetic Fields in the Early Universe
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Turbulence and Magnetic Fields in the Large Scale Structure of the Universe
- On the Origin of Cosmic Magnetic Fields
- Observation of Landau levels of Dirac fermions in graphite
- Exact results for interacting electrons in high Landau levels
- Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
- Primordial Magnetic Fields from Cosmological First Order Phase Transitions
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Pair Creation and an X-ray Free Electron Laser
- Valley-spin polarized Landau levels in a monolayer semiconductor
- Landau Levels in the Presence of Topological Defects
- Towards a quantum Hall effect for atoms using electric fields
- Ferromagnetic Vacuum and Galactic Magnetic Fields
- Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels
- Landau Quantization of Neutral Particles in an External Field
- Landau Levels Analog to Electric Dipole
- Relativistic Landau Levels in the Rotating Cosmic String Spacetime
- Dirac electron in a Coulomb Field in 2+1 Dimensions
- Landau Quantization in the Spinning Cosmic String Spacetime
- Relativistic Landau quantization for a neutral particle
- Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
- Small-scale-field Dynamo
- Planar Dirac Electron in Coulomb and Magnetic Fields: a Bethe ansatz approach
- A Tale of Three Equations: Breit, Eddington-Guant, and Two-Body Dirac
- Exact solution of an exciton energy for a monolayer medium
- Generation of chiral asymmetry via helical magnetic fields
- Anomalous Nematic States in High Half-Filled Landau Levels
- Supercriticality of novel type induced by electric dipole in gapped graphene
- Supercritical electric dipole and migration of electron wave function in graphene
- Two body relativistic wave equations