Relativistic orbits with gravitomagnetic corrections

Effective Hamiltonians with Relativistic Corrections

Relativistic corrections in magnetic systems

We present a weak-relativistic limit comparison between the Kohn-Sham-Dirac equation and its approximate form containing the exchange coupling, which is used in almost all relativistic codes of density-functional theory. For these two descriptions, an exact expression of the Dirac Green’s function in terms of the nonrelativistic Green’s function is first derived and then used to calculate the e...

The Newtonian and Relativistic Theory of Orbits and the Emission of Gravitational Waves

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the post-Newtonian (PN) approximation and the further gravitomagnetic corrections. Finally by a classification of orbits in accordance with the conditions of motion, we calculate the gravitational waves luminosit...

QED and relativistic corrections in superheavy elements

In this paper we review the different relativistic and QED contributions to energies, ionic radii, transition probabilities and Landé g-factors in super-heavy elements, with the help of the MultiConfiguration Dirac-Fock method (MCDF). The effects of taking into account the Breit interaction to all orders by including it in the self-consistent field process are demonstrated. State of the art rad...

General relativistic corrections to the Sagnac effect

The fact that the round trip time for a light ray moving along a closed path (thanks to suitably placed mirrors) when its source is on a turntable varies with the angular speed ω of the platform may be thought classically as obvious. Furthermore that time, for a given ω, will be different if the beam is co-rotating or counter-rotating: longer in the former case, shorter in the latter. This diff...