EFFECT ALGEBRAS AND UNSHARP QUANTUM-LOGICS

被引：614

作者：

FOULIS, DJ

BENNETT, MK

机构：

[1] Department of Mathematics and Statistics, University of Massachusetts, Amherst, 01003, Massachusetts

来源：

FOUNDATIONS OF PHYSICS | 1994年 / 24卷 / 10期

关键词：

D O I：

10.1007/BF02283036

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The effects in a quantum-mechanical system from a partial algebra and a partially ordered set which is the prototypical example of the effect algebras discussed in this paper. The relationships among effect algebras and such structures as orthoalgebras and orthomodular posets are investigated, as are morphisms and group-valued measures (or charges) on effect algebras. It is proved that there is a universal group for every effect algebra, as well as a universal vector space over an arbitrary field.

引用

页码：1331 / 1352

页数：22

共 31 条

[21]

LUDWIG G., 1986, AXIOMATIC BASIS QUAN, VII

[22]

LUDWIG G, 1983, F QUANTUM MECHANICS, V1

[23]

LUDWIG G, 1985, F QUANTUM MECHANICS, V2

[24]

MAEDA F, 1958, KONTINUIERLICHE GEOM

[25] AN ORTHOMODULAR LATTICE ADMITTING NO GROUP-VALUED MEASURE [J].

NAVARA, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) :7-12

[26]

NAVARA M, 1993, DEP MATH REPORT SERI, V938, P1

[27]

OBEID M, 1990, THESIS KANSAS STATE

[28]

PIRON C, 1976, MATH PHYSICS MONOGRA

[29]

PRUGOVECKI E, 1986, STOCHASTIC QUANTUM M

[30] STOCHASTIC QUANTUM-MECHANICS VIEWED FROM THE LANGUAGE OF MANUALS [J].

SCHROECK, FE ;

FOULIS, DJ .

FOUNDATIONS OF PHYSICS, 1990, 20 (07) :823-858

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