Virial theorems for trapped cold atoms
arXiv:0803.3277 · doi:10.1103/PhysRevA.78.025601
Abstract
We present a general virial theorem for quantum particles with arbitrary zero-range or finite-range interactions in an arbitrary external potential. We deduce virial theorems for several situations relevant to trapped cold atoms: zero-range interactions with and without Efimov effect, hard spheres, narrow Feshbach resonances, and finite-range interactions. If the scattering length is varied adiabatically in the BEC-BCS crossover, we find that the trapping potential energy as a function of has an inflexion point at unitarity.
A few small corrections
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