MNIQS
Financiado
Mathematics and Numerics of Infinite Quantum Systems
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 (...
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
ver más
Línea de financiación: concedida
El organismo FP7 notifico la concesión del proyecto el día 2015-09-30
Presupuesto
El presupuesto total del proyecto asciende a
906K€
Líder del proyecto
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE...
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
261.60K€ |
Participante