Classical dynamics generated by long-range interactions for lattice fermions and quantum spins

Autor:	Bru, J.-B., de Siqueira Pedra, W.
Rok vydání:	2020
Předmět:	Classical dynamics Interacting fermions Self-consistency equations Quantum-spin Extended quantum mechanics
Zdroj:	BIRD: BCAM's Institutional Repository Data instname
Popis:	We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical framework to accommodate the macroscopic long-range dynamics, which corresponds to an intricate combination of classical and short-range quantum dynamics. In this paper we focus on the classical part of the long-range, or mean-field, macroscopic dynamics, but we already introduce the full framework. The quantum part of the macroscopic dynamics is studied in a subsequent paper. We show that the classical part of the macroscopic dynamics results from self-consistency equations within the (quantum) state space. As is usual, the classical dynamics is driven by Liouville’s equation. CNPq (308337/2017-4), FAPESP (2017/22340-9), Basque Government through the grant IT641-13 MTM2017-82160-C2-2-P
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fb6ace1be6d9bf938979889e1c3c2d11 http://hdl.handle.net/20.500.11824/1154 Zobrazit plný text záznamu