The unitary gas in an isotropic harmonic trap: symmetry properties and applications

Details The unitary gas in an isotropic harmonic trap: symmetry properties and applications The unitary gas in an isotropic harmonic trap: symmetry properties and applications

2006-07-31

arxiv.org/abs/cond-mat/0607821v1

Phys.Rev.A74:053604,2006

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.74.053604

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.

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