The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field

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 HamiltonianComment: 1 figur

Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion

We consider a charged scalar field under the effect of an external uniform magnetic field in the near-horizon geometry of the Banados-Teitelboim-Zanelli black hole with torsion and obtain quasi-stationary states of the system under consideration through obtaining analytical solution of the corresponding Klein-Gordon equation. We obtain the solution function of the equation and accordingly we arrive at complex spectra. We observe that the real oscillation frequency of the modes and their decay time depend on the strength of the external magnetic field beside the parameters of geometric background. We see that the amplitude of the real oscillation modes decreases and the decay time of the modes becomes longer as the strength of the external magnetic field increases. The results indicate that the geometric background is stable under such a perturbation field

Quasibound states for scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion

We consider a scalar field under the effect of external magnetic field in thenear-horizon geometry of the Banados-Teitelboim-Zanelli black hole with torsionand obtain quasistationary states of the system under consideration by solvingthe corresponding Klein-Gordon equation. We obtain exact solution of theequation and accordingly we arrive at a complex spectra. We observe that thereal oscillation frequency of the modes and their decay time depend on thestrength of external magnetic field besides the parameters of geometricbackground. We see that amplitude of the real oscillation modes decreases anddecay time of the modes becomes longer as the strength of the external magneticfield increases. The results indicate that the geometric background is stableunder such a perturbation field