相空间中准概率类似物的热统计
The thermal statistics of quasi-probabilities' analogs in phase space
摘要：
我们把注意力集中在相空间中的准概率（QP）的重要情况下的二次哈密顿的经典类似物的热统计。我们考虑三个更重要的OP：1）维格纳的，$P$ -，和胡西米的。我们表明，对于所有这些，随之而来的半经典熵是一个函数的波动产品$Δx Δp$的{ \it只}。我们确定{ \it，$P$分布的半经典类似物}在非常低的温度下似乎变得不物理。其他几个信息量词的行为以多种方式再次证实了这一论断。我们还研究了统计复杂性和比热等热量的行为。
英文摘要：
We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities's (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: 1) Wigner's, $P$-, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function {\it only} of the fluctuation product $Δx Δp$. We ascertain that {\it the semi-classical analog of the $P$-distribution} seems to become un-physical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.
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