全维圈量子引力中的扭曲几何相干态：II。艾菲斯特房产
Twisted geometry coherent states in all dimensional loop quantum gravity: II. Ehrenfest Property
摘要：
在本系列文章的前一篇文章中，我们构造了全维圈量子引力中的扭曲几何相干态，并建立了它们的峰态性质。本文建立了这些用扭曲几何参数标记的相干态的“Escherichfest性质”。这意味着初等算子的多项式的期望值以及不是初等算子的多项式函数的算子的期望值在$\hbar$中零阶地再现了在相干态达到峰值的扭曲几何空间点处的相应经典函数的值。
英文摘要：
In the preceding paper of this series of articles we constructed the twisted geometry coherent states in all dimensional loop quantum gravity and established their peakedness properties. In this paper we establish the "Ehrenfest property" of these coherent states which are labelled by the twisted geometry parameters. By this we mean that the expectation values of the polynomials of the elementary operators as well as the operators which are not polynomial functions of the elementary operators, reproduce, to zeroth order in $\hbar$, the values of the corresponding classical functions at the twisted geometry space point where the coherent state is peaked.
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