Some Mathematical Aspects of Quantum Zeno Effect
Some Mathematical Aspects of Quantum Zeno Effect
复制标题
量子芝诺效应的一些数学方面
DOI：
10.1007/s11005-011-0539-0
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Toru Fuda
中科院分区：
文献类型：
--
作者：
Asao Arai;Toru Fuda
对量子Zeno效应(QZE)进行了数学研究，包括以下几个方面：(I)通过任意时间间隔[0，t](t>；)的任意划分进行频繁测量的QZE；(Ii)不在所考虑的量子系统的哈密顿量范围内的矢量态不发生QZE；以及(Iii)表征QZE的生存概率在[0，t]的除数N中的渐近行为；以及(Iv)沿着状态向量的希尔伯特空间中的曲线的QZE。
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 numberNof divisions of [0,t]; and (iv) QZE along a curve in the Hilbert space of state vectors.