Mathematics

Here, we briefly discuss the usual BEC for free bosons on a manifold with non-negative Ricci tensor (which is at the moment a technical restriction). We then study the condensation of bosons with repulsive delta interaction by means of  Bogoliubov theory. The ground state energy, depletion of the condensate are expressed in terms of heat kernel of the Laplacian for the domain. As a by product we provide an intuitive picture of the Thermodynamic limit within Bogoliubov theory for convex domains in three dimensional flat space.  The seminar will take place at the Department of Mathematics, Trieste University, Seminar Room - Third Floor bld H2bis