Kinematical Relativistic Corrections for Earth’s Rotation Parameters

Relativistic Spin Rotation

It is well known that the spin direction of a particle is affected by a boost that is not parallel to its momentum, a relativistic effect described as Wigner rotation or Wigner-Thomas precession. Thus, we often require a transformation between polarizations expressed in either the lab or cm frames. Several versions of this transformation appear in the literature, but proving their equivalence c...

Higher-order relativistic corrections to the vibration–rotation levels of H2S

Relativistic corrections beyond the simple one-electron mass–velocity–Darwin (MVD1) approximation to the ground-state electronic energy of H2S are determined at over 250 geometries. The corrections considered include the two-electron Darwin, the Gaunt and Breit corrections, and the one-electron Lamb shift. Fitted correction surfaces are constructed and used with an accurate ab initio nonrelativ...

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...

Effective Hamiltonians with Relativistic Corrections

Explicit solutions for relativistic acceleration and rotation

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic dynamic equation. If we introduce a new dynamic variable, called symmetric velocity, the above representation becomes a representation by conformal, instead of p...