19 citations · 39 across the 6 of their papers we have counts for
6 papers
Plane density of induced vacuum charge in a supercritical Coulomb potential
V. R. Khalilov, I. V. Mamsurov
An expression for the density of a planar induced vacuum charge is obtained in a strong Coulomb potential in coordinate space. Treatment is based on a self-adjoint extension approa…
Vacuum polarization of planar Dirac fermions by a superstrong Coulomb potential
V. R. Khalilov, I. V. Mamsurov
We study the vacuum polarization of planar charged Dirac fermions by a strong Coulomb potential. Induced vacuum charge density is calculated and analyzed at the subcritical and sup…
Vacuum polarization of charged massless fermions in Coulomb and Aharonov--Bohm fields
V. R. Khalilov, I. V. Mamsurov
Vacuum polarization of charged massless fermions is investigated in the superposition of Coulomb and Aharonov--Bohm (AB) potentials in 2+1 dimensions. For this purpose we construct…
Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
V. R. Khalilov, I. V. Mamsurov
The polarization operator (tensor) for planar charged fermions in constant uniform magnetic field is calculated in the one-loop approximation of the 2+1 dimensional quantum electro…
Free and bound spin-polarized fermions in the fields of Aharonov--Bohm kind
V. R. Khalilov, I. V. Mamsurov, Lee Ki Eun
The scattering of electrons by an Aharonov--Bohm field is considered from the viewpoint of quantum-mechanical problem of constructing a self-adjoint Hamiltonian for the Pauli equat…
Weakly bound electrons in external magnetic field
I. V. Mamsurov, F. Kh. Chibirova
The effect of the uniform magnetic field on the electron in the spherically symmetric square-well potential is studied. A transcendental equation that determines the electron energ…