SPECTRAL PROPERTIES OF OBSERVABLES AND CONVEX MAPPINGS IN QUANTUM-MECHANICS

被引:4
|
作者
CASSINELLI, G
LAHTI, PJ
机构
[1] UNIV GENOA,INFN,I-16146 GENOA,ITALY
[2] UNIV TURKU,DEPT PHYS,SF-20500 TURKU 50,FINLAND
关键词
D O I
10.1063/1.530316
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Observables of a physical system identified with convex mappings sending states into probability measures. The properties of these mappings determine the spectral properties of the observables. The mutually exclusive cases of injective and surjective mappings are characterized, and the convex structure of their ranges are investigated. In particular, the validity of the Krein-Milman property for these convex sets is studied.
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页码:5468 / 5475
页数:8
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