QUANTUM MECHANICS OF         COMPLEX   SYSTEMS





Recent years have seen considerable progress in the rigorous mathematical understanding of complex classical and quantum systems. In particular, this has been the case with disordered systems, the equilibration of many body systems, and systems describing interaction of matter with radiation. Quantum systems have been analyzed almost exclusively through spectral theory. There is no appropriate quantum analogue of classical entropy, reservoir, chaotic system and propagation of chaos, common place notions when dealing with classical systems although the notion of return to equilibrium has been established.

Our aim is to connect these circle of ideas by bringing together experts in nonequilibrium systems as well as researchers in quantum mechanics and field theory during the period Mai 15 - August 15. It is hoped that ideas will be generated during two workshops, one from June 1 to June 6 leading into a symposium commemorating Ludwig Boltzmann's work, and the other will be July 24-31.

The following people have agreed to come for some period of time:
Riccardo Adami (Rome), Anton Arnold (Vienna), Jean Bellissard (Atlanta),  Federico Bonetto (Atlanta), Maria Carvalho (Portugal/Atlanta), Thomas Chen (Princeton), Anna Dall'Acqua (Munich), Stephane de Bievre (Lille), Jan Dereszinski (Warszawa), Laurent Desvillettes (Cachan), Jean Dolbeault (Paris), Raffaele Esposito (L' Aquila), Maria Esteban (Paris), Pierluigi Falco (Rome), Juerg Froehlich (Zuerich), Ester Gabetta (Pavia), Irene Gamba (Texas), Marcel Griesemer (Stuttgart), Christian Hainzl (Birmingham, Alabama), Christian Jaekel (Zuerich), Vojkan Jaksic (Montreal), Shi Jin (Wisconsin), Alain Joye (Grenoble), Mathieu Levin (Denmark), Elliott Lieb (Princeton), Joszef Lorinczi (Munich), Jani Lukkarinen (Munich), Rossana Marra (Rome), Sergey Morozov (Munich), Clement Mouhot (Lyon), Tadahiro Miyao (Munich), Bruno Nachtergaele (Davis), Krzysztof Pachuki (Warszawa), Gianluca Panati (Munich), Federica Pezzotti (L'Aquila), Alessandro Pizzo (Zuerich), Mario Pulvirenti (Rome), Benjamin Schlein (Harvard), Robert Seiringer (Princeton), Eric Sere (Paris), Geoffrey Sewell (London), Heinz Siedentop (Munich), Israel Michael Sigal (Toronto), Herbert Spohn (Munich), Cedric Villani (Lyon),  Shih-Hsien Yu (Hongkong).  


Participant's dates of stay (as of May 15)

Title and abstracts of possible talks

Tentative Program for the first workshop June 1 - 6

Program for the second workshop July 24 - 31

The organizers: Eric Carlen. Laszlo Erdoes and Michael Loss