NEW DEFINITION OF DYNAMIC ENTROPY FOR NONCOMMUTATIVE SYSTEMS

被引：41
|
作者：
SAUVAGEOT, JL
THOUVENOT, JP
机构：
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 145卷 / 02期
关键词：
D O I：
10.1007/BF02099145
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An alternative definition of entropy for non-commutative systems, equivalent to the one by A. Connes, H. Narnhofer, and W. Thirring, is given. It is based on the concepts of conditional entropy, and stationary couplings with classical systems. It allows to prove that any quantum dynamical system with singular spectrum has zero entropy.
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页码：411 / 423
页数：13
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