MNIQS
Mathematics and Numerics of Infinite Quantum Systems
| Coordinatore | CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 905˙700 € |
| EC contributo | 905˙700 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2010-StG_20091028 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-10-01 - 2015-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Organization address
address: Rue Michel -Ange 3 contact info |
FR (PARIS) | hostInstitution | 905˙700.00 |
| 2 |
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Organization address
address: Rue Michel -Ange 3 contact info |
FR (PARIS) | hostInstitution | 905˙700.00 |
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Obiettivo del progetto (Objective)
'The purpose of the project is to study linear and nonlinear models arising in quantum mechanics and which are used to describe matter at the microscopic and nanoscopic scales. The project focuses on physically-oriented questions (rigorous derivation of a given model from first principles), analytic problems (existence and properties of bound states, study of solutions to timedependent equations) and numerical issues (development of reliable algorithmic strategies). Most of the models are nonlinear and describe physical systems possessing an infinite number of quantum particles, leading to specific difficulties. The first part of the project is devoted to the study of relativistic atoms and molecules, while taking into account quantum electrodynamics effects like the polarization of the vacuum. The models are all based on the Dirac operator. The second part is focused on the study of quantum crystals. The goal is to develop new strategies for describing their behavior in the presence of defects and local deformations. Both insulators, semiconductors and metals are considered (including graphene). In the third part, attractive systems are considered (like stars or a few nucleons interacting via strong forces in a nucleus). The project aims at rigorously understanding some of their specific properties, like Cooper pairing or the possible dynamical collapse of massive gravitational objects. Finally, the last part is devoted to general properties of infinite quantum systems, in particular the proof of the existence of the thermodynamic limit'