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2012-04-24 Dr. Jean-Bernard Bru – Fermi Systems With Long Range Interactions

When:       11:00 a.m. on Tuesday, April 24th, 2012.
Where:      Lecture Room, DIAS, School of Theoretical Physics, 10 Burlington Road, Dublin
Speaker:   Dr. Jean-Bernard Bru, Dept. of Mathematics, UPV-EHU (Leioa, Spain)
Title:         Fermi Systems With Long Range Interactions

Dr. Bru will define a Banach space of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states.  This gives a first answer to an old open problem in mathematical physics, first addressed by Ginibre in 1968 within a different context, about the validity of the so-called Bogoliubov approximation on the level of states.  As an application, Dr. Bru will present some thermodynamic properties of a certain type of inhomogeneous Fermi and quantum spin systems on lattices.