A generalization of the Stone-von Neumann theorem to nonregular representations of the CCR-algebra

被引：20

作者：

Cavallaro, S ^{[1
]}

Morchio, G

Strocchi, F

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Univ Pisa, Dipartimento Fis, Pisa, Italy

[3] Ist Nazl Fis Nucl, Pisa, Italy

[4] Scuola Normale Super Pisa, Pisa, Italy

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 47卷 / 04期

关键词：

Stone-von Neumann theorem; Weyl algebra; measurable representations;

D O I：

10.1023/A:1007599222651

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a classification, up to unitary equivalence, of the representations of the C*-algebra of the Canonical Commutation Relations which generalizes the classical Stone-von Neumann Theorem to the case of representations which are strongly measurable, but not necessarily strongly continuous. The classification includes all the (nonregular) representations which have been considered in physical models.

引用

页码：307 / 320

页数：14

共 28 条

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