Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-03-22
Physical Review A: Atomic, Molecular and Optical Physics 78 (2008) 025601
Physics
Condensed Matter
Other Condensed Matter
A few small corrections
Scientific paper
10.1103/PhysRevA.78.025601
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 $a$ is varied adiabatically in the BEC-BCS crossover, we find that the trapping potential energy as a function of $1/a$ has an inflexion point at unitarity.
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