Remarks on the order for quantum observables
Remarks on the order for quantum observables
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DOI：
10.2478/s12175-007-0048-x
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发表时间：
2007-12
影响因子：
1.6
通讯作者：
S. Pulmannová;E. Vinceková
中科院分区：
文献类型：
--
作者：
S. Pulmannová;E. Vinceková
广义效应代数与经典和量子可观测集合之间的关系，这些集合最近在[GUDDER，S.：An Order for Quantum可观测，Math]中引入。斯洛瓦卡56(2006)，573-589]。在经典情况下，得到一个广义的OMP，而在量子情况下，得到一个弱的广义OMP。在量子情形下，证明了任意集的下界和以上有界集的上界的存在性。刻画了Mackey意义下的兼容性。
Relations between generalized effect algebras and the sets of classical and quantum observables endowed with an ordering recently introduced in [GUDDER, S.: An order for quantum observables, Math. Slovaca 56 (2006), 573–589] are studied. In the classical case, a generalized OMP, while in the quantum case a weak generalized OMP is obtained. Existence of infima for arbitrary sets and suprema for above bounded sets in the quantum case is shown. Compatibility in the sense of Mackey is characterized.