4 MATHEMATICAL EXPRESSIONS OF THE UNCERTAINTY RELATION

被引：1
作者：
ISHIGAKI, T
机构：
[1] Faculty of Science, Hokkaido University, Sapporo, 060, Kita 10, Nishi 8, Kuta-ku
来源：
FOUNDATIONS OF PHYSICS | 1991年 / 21卷 / 09期
关键词：
D O I：
10.1007/BF00733387
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The uncertainty relation in quantum mechanics has been explicated somtimes as a statistical relation and at other times as a relation concerning precision of simultaneous measurements. In the present paper, taking the indefiniteness of individual experiments as represented by diameters of Borel sets in projection-valued measure, we mathematically distinguish four expressions, two statistical and two concerning simultaneous measurements, of the uncertainty relation, study their interrelations, and prove that they are nonequivalent to each other and to the eigenvector condition (EV) in infinite-dimensional Hilbert space.
引用
收藏
页码：1089 / 1105
页数：17
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