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dc.contributor.authorBru J.-B.en_US
dc.contributor.authorde Siqueira Pedra W.en_US
dc.dateinfo:eu-repo/date/embargoEnd/2022-09-01en_US
dc.date.accessioned2020-10-05T18:49:15Z
dc.date.available2020-10-05T18:49:15Z
dc.date.issued2021
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1154
dc.description.abstractWe 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.sponsorshipCNPq (308337/2017-4), FAPESP (2017/22340-9), Basque Government through the grant IT641-13 MTM2017-82160-C2-2-Pen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherJ. Math. Anal. Appl.en_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectClassical dynamicsen_US
dc.subjectInteracting fermionsen_US
dc.subjectExtended quantum mechanicsen_US
dc.subjectSelf-consistency equationsen_US
dc.subjectQuantum-spinen_US
dc.titleClassical dynamics generated by long-range interactions for lattice fermions and quantum spinsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US
dc.relation.publisherversionhttps://linkinghub.elsevier.com/retrieve/pii/S0022247X20305965en_US


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