DEDMEE
Derivation of Effective Dynamics from Microscopic Evolution Equations
Total Cost €
0EC-Contrib. €
0Partnership
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0DEDMEE project word cloud
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Project "DEDMEE" data sheet
The following table provides information about the project.
| Coordinator |
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
Organization address contact info |
| Coordinator Country | Spain [ES] |
| Project website | http://www.bcamath.org/sbreteaux |
| Total cost | 158˙121 € |
| EC max contribution | 158˙121 € (100%) |
| Programme |
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility) |
| Code Call | H2020-MSCA-IF-2014 |
| Funding Scheme | MSCA-IF-EF-ST |
| Starting year | 2015 |
| Duration (year-month-day) | from 2015-06-01 to 2017-05-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS | ES (BILBAO) | coordinator | 158˙121.00 |
Map
Project objective
The derivation of macroscopic (effective) equations from microscopic considerations is a long-standing challenge of the mathematical analysis of many-body problems. In this research proposal, we focus on the derivation of (linear or non-linear) kinetic and Hartree-type equations from microscopic quantum models. The innovative and creative potential of the project relies on the combination of rigorous methods of Quantum Field Theory (QFT) and Quantum Statistical Mechanics (QSM). Particular attention will indeed be paid to the macroscopic properties of interacting quantum systems governed by a microscopic dynamics. The latter is a notoriously difficult mathematical problem for which only few rigorous results exist. The proposed research will yield significant outcomes in this field, while developing important knowledge transfers, locally between the researchers Sébastien Breteaux, Jean-Bernard Bru and Miguel Escobedo, and globally between BCAM and TU Braunschweig, the University of Paris Nord, ETH Zürich and the University of São Paulo
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2017 |
Ammari, Zied; Breteaux, Sébastien; Nier, Francis Quantum mean field asymptotics and multiscale analysis published pages: , ISSN: , DOI: |
2017-08. 2017 1 | 2019-07-24 |
| 2016 |
Sigal, Israel Michael; Breteaux, Sébastien; Chen, Thomas; Fröhlich, Jürg; Bach, Volker The time-dependent Hartree-Fock-Bogoliubov equations for Bosons published pages: , ISSN: , DOI: |
HAL 1 | 2019-07-24 |
| 2016 |
Volker Bach, Sébastien Breteaux, Sören Petrat, Peter Pickl, Tim Tzaneteas Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction published pages: 1-30, ISSN: 0021-7824, DOI: 10.1016/j.matpur.2015.09.003 |
Journal de Mathématiques Pures et Appliquées 105/1 | 2019-07-24 |
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