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DEDMEE

Derivation of Effective Dynamics from Microscopic Evolution Equations

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

DEDMEE project word cloud

Explore the words cloud of the DEDMEE project. It provides you a very rough idea of what is the project "DEDMEE" about.

linear difficult z braunschweig microscopic eacute paris qsm interacting considerations mathematical exist bcam equations jean university innovative macroscopic relies globally bastien transfers creative miguel paulo outcomes rigorous yield atilde bru uuml nord statistical combination quantum governed bernard breteaux tu dynamics body models latter hartree mechanics kinetic theory eth few escobedo locally derivation qft paid notoriously

Project "DEDMEE" data sheet

The following table provides information about the project.

Coordinator	BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS Organization address address: AL MAZARREDO 14 city: BILBAO postcode: 48009 website: www.bcamath.org contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
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.

#	participants	country	role	EC contrib. [€]
1	BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS Organization address address: AL MAZARREDO 14 city: BILBAO postcode: 48009 website: www.bcamath.org contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
2017	Ammari, Zied; Breteaux, SÃ©bastien; 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, SÃ©bastien; Chen, Thomas; FrÃ¶hlich, JÃ¼rg; Bach, Volker The time-dependent Hartree-Fock-Bogoliubov equations for Bosons published pages: , ISSN: , DOI:	HAL 1	2019-07-24
2016	Volker Bach, SÃ©bastien Breteaux, SÃ¶ren Petrat, Peter Pickl, Tim Tzaneteas Kinetic energy estimates for the accuracy of the time-dependent Hartreeâ€“Fock approximation with Coulomb interaction published pages: 1-30, ISSN: 0021-7824, DOI: 10.1016/j.matpur.2015.09.003	Journal de MathÃ©matiques Pures et AppliquÃ©es 105/1	2019-07-24

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The information about "DEDMEE" are provided by the European Opendata Portal: CORDIS opendata.