Semi-groups and time operators for quantum unstable systems

被引：5
|
作者：
Courbage, Maurice [1 ]
机构：
[1] Univ Paris 07, Lab Phys Theor Mat Condensee, F-75251 Paris 05, France
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2007年 / 46卷 / 08期
关键词：
quantum ustable system; time operator; semigroup time evolution; Hardy spaces; Liouville spaces;
D O I：
10.1007/s10773-006-9324-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use spectral projections of time operator in the Liouville space for simple quantum scattering systems in order to define a space of unstable particle states evolving under a contractive semi-group. This space includes purely exponentially decaying states that correspond to complex eigenvalues of this semi-group. The construction provides a probabilistic interpretation of the resonant states characterized in terms of the Hardy class.
引用
收藏
页码：1881 / 1889
页数：9
相关论文
共 50 条
12345