Variational formulation of classical and quantum models for intense laser pulse propagation
Plasma Physics
2018-11-14 v1 Statistical Mechanics
Abstract
We consider the theoretical description of intense laser pulses propagating through gases. Starting from a first-principles description of both the electromagnetic field and the electron motion within the gas atoms, we derive a hierarchy of reduced models. We obtain a parallel set of models, where the atomic electrons are treated classically on the one hand, and quantum-mechanically on the other. By working consistently in either a Lagrangian formulation or a Hamiltonian formulation, we ensure that our reduced models preserve the variational structure of the parent models. Taking advantage of the Hamiltonian formulation, we deduce a number of conserved quantities of the reduced models.
Cite
@article{arxiv.1807.02018,
title = {Variational formulation of classical and quantum models for intense laser pulse propagation},
author = {Simon Berman and Cristel Chandre and Jonathan Dubois and François Mauger and Maxime Perin and Turgay Uzer},
journal= {arXiv preprint arXiv:1807.02018},
year = {2018}
}