囚禁冷原子的维里定理
Virial theorems for trapped cold atoms
摘要：
本文给出了在任意外部势场中具有任意零程或有限程相互作用的量子粒子的普遍维里定理。我们推导了几种与囚禁冷原子相关的情形下的维里定理：有和没有Efimov效应的零程相互作用、硬球、窄费什巴赫共振和有限程相互作用。当散射长度$a$在BEC-BCS交叉中随时间变化时，我们发现作为$1/a$函数的俘获势能在么正性处存在一个突变点.
英文摘要：
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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