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

页码：1881 / 1889

页数：9

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