粒子分布尾及相关能量公式
Particle distribution tail and related energy formula
摘要：
我们提出了一个简单的推导的能量公式发现谭，相对于单通道哈密顿相关的超冷费米气体。这种推导推广到不同质量的粒子，任意混合物，和二维空间。我们展示了如何，在一个领域的理论方法，$1/k^4$尾巴的动量分布和能量公式出现在一个自然的方式。作为一个具体的例子，我们考虑定量计算的能量，从不同的公式在正常状态下的梯形图近似。结果的比较提供了近似质量的指示。
英文摘要：
We present a simple derivation of the energy formula found by Tan, relative to the single channel hamiltonian relevant for ultracold Fermi gases. This derivation is generalized to particles with different masses, to arbitrary mixtures, and to two-dimensional space. We show how, in a field theoretical approach, the $1/k^4$ tail in the momentum distribution and the energy formula arise in a natural way. As a specific example, we consider quantitative calculations of the energy, from different formulas within the ladder diagrams approximation in the normal state. The comparison of the results provides an indication on the quality of the approximation.
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