DIFFERENCE POSETS, EFFECTS, AND QUANTUM MEASUREMENTS

被引:45
作者
DVURECENSKIJ, A
PULMANNOVA, S
机构
[1] Mathematical Institute, Slovak Academy of Sciences, Bratislava, SK-814 73
关键词
D O I
10.1007/BF00672820
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Difference posets as generalizations of quantum logics, orthoalgebras, and effects are studied. Observables and measures generalizing normalized POV-measures and generalized measures on sets of effects are introduced. Characterization of orthomodularity of subsets of a difference poset in terms of triangle closedness and regularity of these subsets enables us to characterize observables with a Boolean range. Boolean powers of difference posets are investigated; they have similar properties to that of tensor products, and their connection with quantum measurements is studied.
引用
收藏
页码:819 / 850
页数:32
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