| Full text | |
| Author(s): |
Bru, J. -B.
;
Pedra, W. de Siqueira
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 493, n. 1 JAN 1 2021. |
| Web of Science Citations: | 1 |
| 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. (c) 2020 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/22340-9 - Constructive methods for interacting fermions with applications to the microscopic theory of conductivity and superconductivity |
| Grantee: | Walter Alberto de Siqueira Pedra |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |