The unitary gas in an isotropic harmonic trap: symmetry properties and   applications
  We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the free-space zero-energy problem, separability in hyperspherical coordinates, SO(2,1) hidden symmetry, and relations between the moments of the trapping potential energy and the moments of the total energy. 
F\'elix Werner (LKB - Lhomond), Yvan Castin (LKB - Lhomond)