New Mathematical Problems in
Quantum Many--Body Theory

Workshop at the ESI, September 6-10, 2004

This is the opening workshop for the Program on Many-Body Quantum Theory that takes place at the ESI from September to December, 2004.

Problems from theoretical physics that are sufficiently well--understood to allow for a mathematical treatment and methods in quantum many-body systems that deserve mathematical attention will be presented, to stimulate discussions and research in the mathematical branch of the theory. The speakers present their topics in two 45 minute talks each, followed by discussions.

Speakers

Carlo di Castro RG and Ward identities in bose systems
Kurt Schönhammer Impurity in Luttinger liquid
Karsten Held Dynamical mean field theory
Martin Zirnbauer 1. From Random Matrices to Supermanifolds
2. Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
Franz Wegner Flow equations and broken symmetry
Achim Rosch Transport in One-Dimensional Systems: The Role of Conservation Laws
Robert Seiringer Dilute Trapped Bose Gases and Bose-Einstein Condensation
André-Marie Tremblay The Two-Particle Self-Consisten Approach
1. Destruction of the Fermi surface: Confronting Theory, Experiment and Simulations
2. Formal issues in Many-Body Theory and where the Two-Particle-Self-Consistent Approach fits.

Participants

Andergassen, Sabine   (MPI-FKF Stuttgart)
Bach, Volker   (Universität Mainz)
Benfatto, Giuseppe   (Roma II)
Coreggi, Michele  
di Castro, Carlo   (Roma I)
Disertori, Margherita   (ETH Zürich)
Enss, Tilmann   (MPI-FKF Stuttgart)
Fournais, Soeren   (Aarhus)
Giuliani, Alessandro   (Roma II)
Held, Karsten   (MPI-FKF Stuttgart)
Kopper, Christoph   (Ecole Polytechnique, Palaiseau)
Knörrer, Horst   (ETH Zürich)
Langmann, Edwin   (KTH, Stockholm)
Lauscher, Oliver   (Universität Leipzig)
Magnen, Jacques   (Ecole Polytechnique, Palaiseau)
Mastropietro, Vieri   (Roma II)
Metzner, Walter   (MPI-FKF Stuttgart)
Nachtergaele, Bruno   (UC Davis)
Rohe, Daniel   (MPI-FKF Stuttgart)
Rosch, Achim   (Universität Köln)
Salmhofer, Manfred   (Universität Leipzig)
Schönhammer, Kurt  (Universität Göttingen)
Seiringer, Robert   (Princeton University)
Tremblay, André-Marie   (Université de Sherbrooke)
Wegner, Franz   (Universität Heidelberg)
Yngvason, Jakob   (ESI and Universität Wien)
Zirnbauer, Martin   (Universität Köln)

Schedule

The workshop starts Monday morning and ends Friday at noon. The preliminary schedule is  
Monday Tuesday Wednesday Thursday Friday
10---12 Wegner Seiringer Tremblay Schönhammer
14---16 Zirnbauer di Castro Held Rosch
16:30 Discussion Discussion Discussion Discussion

The more detailed schedule is here as pdf . Some abstracts are here . The discussion in the afternoon is about both lectures.

Organizers

Walter Metzner, Manfred Salmhofer, Jakob Yngvason