Electron correlation within the relativistic no-pair approximation

Relativistic exchange-correlation energy functional: Gauge dependence of the no-pair correlation energy

We analyze the gauge dependence of the relativistic electron gas correlation energy Ec resulting from the no-pair approximation. In particular, we evaluate the relativistic no-pair Lindhard function as the basic ingredient of the random-phase approximation ~RPA! for Ec . The resulting gauge-dependent no-pair RPA is compared with a gauge-invariant counterpart. The implications for relativistic d...

Generalized Relativistic Magnetohydrodynamic Equations for Pair and Electron-Ion Plasmas

We derived one-fluid equations based on a relativistic two-fluid approximation of e pair plasma and electron-ion plasma to reveal the specific relativistic nature of their behavior. Assuming simple condition on the relativistic one-fluid equations, we propose generalized relativistic magnetohydrodynamic (RMHD) equations which satisfy causality. We show the linear analyses of these equations reg...

Two-Center Electron-Electron Correlation within the Independent Event Model

The Independent Event Model (IEVM) is used to analyze collision processes for systems with three and four electrons, in situations where up to three active electrons are involved and dynamical correlation effects play a major role. The model is applied to single electron loss and loss-ionization processes. All the possible ionization mechanisms for both collision partners in each exit channel a...

Economical treatments of relativistic effects and electron correlation in WH6

Relativistic correlation

Fundamental breakthroughs have recently been achieved in relativistic quantum chemistry based on the no-pair Dirac-Coulomb-Breit Hamiltonian (for a recent review see Ref. [1]). However, there still exist two issues that require great attention, i.e., how to go beyond the nopair approximation so as to account for the correlation contributions of negative energy states and how to do relativistic ...