Of mean-fields and convergences

Journal club talk by guest speaker Ioannis Anapolitanos
from the Department of Mathematics, UofT, on 26 Aug, 2010.

Reference: http://arxiv.org/abs/0904.4514

We had a lively session of condensed matter mathematics, with Ioannis sketching the status of mean-field theories in mathematical physics. He introduced Hartree mean-field theory for bosonic systems systematically, drawing an analogy to centre of mass motion in classical mechanics.

He then discussed the convergence of expectation values of general p-particle observables in Hartree mean field theory. At the end, he briefly outlined his own work which has improved the bound.

There were interesting discussions about fermionic systems and mixed density matrices.