| Texto completo | |
| Autor(es): |
Bru, J. -B.
;
Pedra, W. de Siqueira
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 493, n. 1 JAN 1 2021. |
| Citações Web of Science: | 1 |
| Resumo | |
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. (c) 2020 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 17/22340-9 - Métodos construtivos para férmions interagentes com aplicações a teoria microscópica da condutividade e supercondutividade |
| Beneficiário: | Walter Alberto de Siqueira Pedra |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |