The Unitary gas in an isotropic harmonic trap: Symmetry properties and applications
2006Citations per year
Abstract: (arXiv)
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.- 05.30.Jp
- 03.75.Ss
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