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

页码：245 / 260

页数：16

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