量子angular-momentum涨落的主成分刻画
Characterization of quantum angular-momentum fluctuations via principal components
摘要:
我们详细阐述了一种方法的角动量量子涨落的协方差矩阵的对角化的基础上,在两个版本:实对称和复杂的厄米特。与以前的方法不同的是,这是SU(2)不变的,避免了任何困难所造成的非平凡的算子。有意义的不确定性关系推导出这是非平凡的,即使为零的平均角动量。我们将这种方法应用于一些相关的国家。
英文摘要:
We elaborate an approach to quantum fluctuations of angular momentum based on the diagonalization of the covariance matrix in two versions: real symmetric and complex Hermitian. At difference with previous approaches this is SU(2) invariant and avoids any difficulty caused by nontrivial commutators. Meaningful uncertainty relations are derived which are nontrivial even for vanishing mean angular momentum. We apply this approach to some relevant states.
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