Lagrangian approach to the semi-relativistic electron dynamics in the mean-field approximation
Quantum Physics
2014-03-18 v1
Abstract
We derive a mean-field model that is based on a two-component Pauli-like equation and incorporates quantum, spin, and relativistic effects up to second order in . Using a Lagrangian approach, we obtain the self-consistent charge and current densities that act as sources in the Maxwell equations. A physical interpretation is provided for the second-order corrections to the sources. The Maxwell equations are also expanded to the same order. The resulting self-consistent model constitutes a suitable semi-relativistic approximation to the full Dirac-Maxwell equations.
Keywords
Cite
@article{arxiv.1403.3854,
title = {Lagrangian approach to the semi-relativistic electron dynamics in the mean-field approximation},
author = {Anant Dixit and Yannick Hinschberger and Jens Zamanian and Giovanni Manfredi},
journal= {arXiv preprint arXiv:1403.3854},
year = {2014}
}