TRANSITIVITY AND EQUICONTINUITY IN QUANTUM MEASURE SPACES

被引：0
|
作者：
Khare, Mona [1 ]
Pandey, Pratibha [1 ]
机构：
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 84卷 / 02期
关键词：
quantum dynamical system; isomorphism; conjugacy; transitive system; equicontinuous system; JORDAN TYPE DECOMPOSITION; EFFECT ALGEBRAS; LATTICE; ENTROPY;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, the notions of similarity and conjugation of two quantum dynamical systems are defined and it is proved that similar quantum dynamical systems are conjugate. Putting forward the concepts of transitivity, minimality, chain-transitivity and equicontinuity in the context, it is proved that these notions are preserved under similarity of quantum dynamical systems. It is obtained that every minimal system is transitive, and every chain-transitive system possessing the shadowing property is transitive. Under a suitable condition it is shown that a point is minimal if and only if it is an equicontinuous point.
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收藏
页码：253 / 268
页数：16
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