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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
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Submitter: 数学紀要登録作業用
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