Effective quantum dynamics for magnetic fermions
Mathematical Physics
2024-09-25 v2 math.MP
Abstract
We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field. The derivation invokes the Dirac-Frenkel principle. We discuss the validity of this effective description with respect to the many-body Schr\"odinger dynamics for small times and for weak interactions, and also in regards to the number of particles.
Cite
@article{arxiv.2406.15041,
title = {Effective quantum dynamics for magnetic fermions},
author = {Margherita Ferrero and Domenico Monaco},
journal= {arXiv preprint arXiv:2406.15041},
year = {2024}
}
Comments
31 pages, no figures. v2: matches published version on Open Communications in Nonlinear Mathematical Physics