Molecular QTAIM Topology Is Sensitive to Relativistic Corrections

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...

Relativistic Corrections to the Aharonov-Bohm Scattering

We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the self-interaction parameter for which the 2-particle amplitude reduces to the Aharonov-Bohm one is restricted to the leading, nonrelativistic, order. The sub...

Relativistic Corrections to the Sunyaev-zel’dovich Effect

We present an extension of the Kompaneets equation which allows relativistic effects to be included to any desired order. Using this, we are able to obtain simple analytic forms for the spectral changes due to the Sunyaev-Zel’dovich effect in hot clusters, correct to first and second order in the expansion parameter θe = kBTe/mc . These analytic forms agree with previous numerical calculations ...

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