PLANAR MASSLESS FERMIONS IN COULOMB AND AHARONOV BOHM POTENTIALSстатья
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Дата последнего поиска статьи во внешних источниках: 19 июля 2013 г.
Аннотация:Solutions to the Dirac equation are constructed for a massless charged fermion in
Coulomb and Aharonov–Bohm (AB) potentials in 2 + 1 dimensions. The Dirac Hamiltonian
on this background is singular and needs a one-parameter self-adjoint extension,
which can be given in terms of self-adjoint boundary conditions. We show that the virtual
(quasistationary) bound states emerge in the presence of an attractive Coulomb potential
when the so-called effective charges become overcritical and discuss a restructuring
of the vacuum of the quantum electrodynamics when the virtual bound states emerge.
We derive equations, which determine the energies and lifetimes of virtual bound states,
find solutions of obtained equations for some values of parameters as well as analyze the
local density of states (LDOS) as a function of energy in the presence of Coulomb and
AB potentials.