Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Some Mathematical Aspects of Quantum Zeno Effect
Title: | Some Mathematical Aspects of Quantum Zeno Effect |
Authors: | Arai, Asao Browse this author | Fuda, Toru Browse this author |
Keywords: | quantum Zeno effect | survival probability | transition probability. |
Issue Date: | 27-Oct-2011 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 988 |
Start Page: | 1 |
End Page: | 15 |
Abstract: | 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; (iii) asymptotic behavior of the survival probability characterizing QZE in the number N of divisions of [0, t]; (iv) QZE along a curve in the Hilbert space of state vectors. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69794 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|