Some Mathematical Aspects of Quantum Zeno Effect

被引：2
|
作者：
Arai, Asao [1 ]
Fuda, Toru [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2012年 / 100卷 / 03期
基金：
日本学术振兴会;
关键词：
quantum Zeno effect; survival probability; transition probability; PARADOX;
D O I：
10.1007/s11005-011-0539-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Mathematical investigations on quantum Zeno effect (QZE) are presented, including the following aspects: (i) QZE by frequent measurements made by an arbitrary partition of a time interval [0, t] (t > 0); (ii) non-occurrence of QZE for vector states which are not in the domain of the Hamiltonian of the quantum system under consideration; and (iii) asymptotic behavior of the survival probability characterizing QZE in the number N of divisions of [0, t]; and (iv) QZE along a curve in the Hilbert space of state vectors.
引用
收藏
页码：245 / 260
页数：16
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