Effective Approximation and Dynamics of Many Body Quantum Systems – EffectiveQuantum
The proposed French-German joint project “Effective Approximation and Dynamics of Many-Body Quantum Systems” aims at various important open questions in mathematical physics and partial differential equations (PDE). More specifically, we address the mathematical relations between the
PDE describing a many-body quantum system at a microscopic level and effective approximations to this description at a macroscopic level.
The three major foci are:
1. the derivation of effective equations related to Hartree-Fock theory and kinetic equations;
2. the study of dynamical and scattering properties of many-body systems and their effective
descriptions;
3. spectral analysis and derivation of effective equations at positive temperature.
This project is a joint cooperation between researchers in Braunschweig (Germany), Bremen
(Germany), Metz (France) and Rennes (France).
Project coordination
Sébastien Breteaux (Institut Elie Cartan de Lorraine)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
Partner
IECL Institut Elie Cartan de Lorraine
Jacobs University Bremen / Mathematics
Technical University of Braunschweig / Institut of Analysis and Algebra
IRMAR INSTITUT DE RECHERCHE MATHEMATIQUE DE RENNES
Help of the ANR 641,618 euros
Beginning and duration of the scientific project:
March 2023
- 36 Months
