10 research outputs found
Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach
The Green function (GF) related to the problem of a Dirac particle
interacting with a plane wave and constant magnetic fields is calculated in the
framework of path integral via Alexandrou et al. formalism according to the
so-called global projection. As a tool of calculation, we introduce two
identities (constraints) into this formalism, their main role is the reduction
of integrals dimension and the emergence in a natural way of some classical
paths, and due to the existence of constant electromagnetic field, we have used
the technique of fluctuations. Hence the calculation of the (GF) is reduced to
a known gaussian integral plus a contribution of the effective classical
action.Comment: 12 pages, no figure
Path integral for a relativistic Aharonov-Bohm-Coulomb system
The path integral for the relativistic spinless Aharonov-Bohm-Coulomb system
is solved, and the energy spectra are extracted from the resulting amplitude.Comment: 6 pages, Revte
Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
We consider the three-dimensional Dirac equation in spherical coordinates
with coupling to static electromagnetic potential. The space components of the
potential have angular (non-central) dependence such that the Dirac equation is
separable in all coordinates. We obtain exact solutions for the case where the
potential satisfies the Lorentz gauge fixing condition and its time component
is the Coulomb potential. The relativistic energy spectrum and corresponding
spinor wavefunctions are obtained. The Aharonov-Bohm and magnetic monopole
potentials are included in these solutions. The conventional relativistic
units, = c = 1, are used.Comment: This is a modified version of the manuscript hep-th/0501004 rewritten
in the conventional relativistic units, = c = 1. Consequently, most
of the equations and all results that were previously written in the atomic
units = m =1, are now reformulated in the new unit
Novel Bound States Treatment of the Two Dimensional Schrodinger Equation with Pseudocentral Plus Multiparameter Noncentral Potential
By converting the rectangular basis potential V(x,y) into the form as
V(r)+V(r, phi) described by the pseudo central plus noncentral potential,
particular solutions of the two dimensional Schrodinger equation in plane-polar
coordinates have been carried out through the analytic approaching technique of
the Nikiforov and Uvarov (NUT). Both the exact bound state energy spectra and
the corresponding bound state wavefunctions of the complete system are
determined explicitly and in closed forms. Our presented results are identical
to those of the previous works and they may also be useful for investigation
and analysis of structural characteristics in a variety of quantum systemsComment: Published, 16 page