We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the N-body gauge approach. assume that standard matter species (cold matter, baryons, photons and neutrinos) are only gravitationally-coupled with scalar field we then use fact one can include modified gravity effects as an effective fluid ...

Modern XAFS (X-ray Absorption Fine Structure) data-analysis is based on accurate multiple-scattering (MS) calculations of the X-ray absorption cross-section. In this paper, we present inclusion and test relativistic corrections for within GnXAS suite programs, which relevant to treatment signals when atoms with high atomic number are contained into system. We a suitable strategy introducing wit...

We present a benchmark of the density functional linear response calculation of NMR shieldings within the gauge-including projector-augmented-wave method against all-electron augmented-plane-wave+local-orbital and uncontracted Gaussian basis set results for NMR shieldings in molecular and solid state systems. In general, excellent agreement between the aforementioned methods is obtained. Scalar...

Wavefunctions of a heavy-light quark (Q, q̄) system described by a covariant Dirac hamiltonian are analyzed. By assuming that the confinement potential is a Lorentz scalar (S), the slope of the IsgurWise function is calculated at zero recoil point. The result obtained is ξ(1) = −0.93 ± 0.05. This means that the solutions are perfectly consistent. If relativistic corrections in the light quark wa...

and σN is the area of the unit sphere in R (σ3 = 4π and σ4 = 2π). This nonlinear transport equation describes in dimension N = 3 the mechanical state of a stellar system subject to its own gravity (see for instance [3, 14]). Classical calculations show that this model should be correct only for low velocities, and if high velocities occur, special relativistic corrections should be introduced; ...

We describe a procedure to take into account the spatial dispersion of the optical excitations in the susceptibility sum rules. We show that this implies that relativistic corrections of the same order must be considered. The final result is a decrease of the total oscillator strength equal to the ratio of the average electron kinetic energy with mc. We propose experiments with synchrotron radi...

Analytical expressions are presented for relativistic corrections to the Kompaneets equation and the Sunyaev-Zel’dovich y-distortion. The latter provides a convenient method of inferring both the temperature and Thomson optical depth of the gas in clusters of galaxies using only observations of the spectrum of CMBR photons passing through the cluster. The relativistic correction gives an additi...

Wavefunctions of a heavy-light quark (Q, q̄) system described by a covariant Dirac hamiltonian are analyzed. By assuming that the confinement potential is a Lorentz scalar (S), the slope of the IsgurWise function is calculated at zero recoil point. The result obtained is ξ(1) = −0.93 ± 0.05. This means that the solutions are perfectly consistent. If relativistic corrections in the light quark wa...