Lundholm, Douglas2; Portmann, Fabian2; Solovej, Jan Philip2
1 Department of Mathematical Sciences, Faculty of Science, Københavns Universitet2 Department of Mathematical Sciences, Faculty of Science, Københavns Universitet
We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.
Communications in Mathematical Physics, 2015, Vol 335, Issue 2, p. 1019-1056