dc.contributor.author | Bru, J.-B. | |
dc.contributor.author | de Siqueira Pedra, W. | |
dc.date | info:eu-repo/date/embargoEnd/2022-09-01 | en_US |
dc.date.accessioned | 2020-10-05T18:49:15Z | |
dc.date.available | 2020-10-05T18:49:15Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/20.500.11824/1154 | |
dc.description.abstract | 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. | en_US |
dc.description.sponsorship | CNPq (308337/2017-4),
FAPESP (2017/22340-9),
Basque Government through the grant IT641-13
MTM2017-82160-C2-2-P | en_US |
dc.format | application/pdf | en_US |
dc.language.iso | eng | en_US |
dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
dc.subject | Classical dynamics | en_US |
dc.subject | Interacting fermions | en_US |
dc.subject | Extended quantum mechanics | en_US |
dc.subject | Self-consistency equations | en_US |
dc.subject | Quantum-spin | en_US |
dc.title | Classical dynamics generated by long-range interactions for lattice fermions and quantum spins | en_US |
dc.type | info:eu-repo/semantics/article | en_US |
dc.relation.publisherversion | https://linkinghub.elsevier.com/retrieve/pii/S0022247X20305965 | en_US |
dc.relation.projectID | ES/1PE/SEV-2017-0718 | en_US |
dc.relation.projectID | EUS/BERC/BERC.2018-2021 | en_US |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | en_US |
dc.journal.title | J. Math. Anal. Appl. | en_US |