| 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: | 0 |
| Abstract | |
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. In this paper we focus on the quantum part of the long-range macroscopic dynamics. The classical part is studied in a companion paper. Altogether, the results obtained are far beyond previous ones and required the development of a suitable mathematical framework. The entanglement of classical and quantum worlds is noteworthy, opening new theoretical perspectives, and is shown here to be a consequence of the highly non local character of long-range, or mean-field, interactions. (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 |