4 research outputs found
Coulomb scattering for scalar field in Scr\" odinger picture
The scattering of a charged scalar field on Coulomb potential on de Sitter
space-time is studied using the solution of the free Klein-Gordon equation. We
find that the scattering amplitude is independent of the choice of the picture
and in addition the total energy is conserved in the scattering process.Comment: 7 pages, no figure
Remarks on the spherical waves of the Dirac field on de Sitter spacetime
The Shishkin's solutions of the Dirac equation in spherical moving frames of
the de Sitter spacetime are investigated pointing out the set of commuting
operators whose eigenvalues determine the integration constants. It is shown
that these depend on the usual angular quantum numbers and, in addition, on the
value of the scalar momentum. With these elements a new result is obtained
finding the system of solutions normalized (in generalized sense) in the scale
of scalar momentum.Comment: 7 pages, no figure
Reduction formalism for Dirac fermions on de Sitter spacetime
The reduction formulas for Dirac fermions are derived, using the exact
solutions of free Dirac equation on de Sitter spacetime. In the framework of
the perturbation theory one studies the Green functions and derive the
scatering amplitude in the first orders of perturbation theory.Comment: 12 pages, no figure