Virial theorems for trapped cold atoms
Other Condensed Matter
2009-11-13 v3
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.
Cite
@article{arxiv.0803.3277,
title = {Virial theorems for trapped cold atoms},
author = {Félix Werner},
journal= {arXiv preprint arXiv:0803.3277},
year = {2009}
}
Comments
A few small corrections