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Some Mathematical Aspects of Quantum Zeno Effect
Title: | Some Mathematical Aspects of Quantum Zeno Effect |
Authors: | Arai, Asao Browse this author →KAKEN DB | Fuda, Toru Browse this author |
Keywords: | quantum Zeno effect | survival probability | transition probability |
Issue Date: | Jun-2012 |
Publisher: | Springer Netherlands |
Journal Title: | Letters in Mathematical Physics |
Volume: | 100 |
Issue: | 3 |
Start Page: | 245 |
End Page: | 260 |
Publisher DOI: | 10.1007/s11005-011-0539-0 |
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; 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. |
Rights: | The original publication is available at www.springerlink.com |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/52804 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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