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Time Operators of a Hamiltonian with Purely Discrete Spectrum
| Title: | Time Operators of a Hamiltonian with Purely Discrete Spectrum |
| Authors: | Arai, Asao Browse this author →KAKEN DB | | Matsuzawa, Yasumichi Browse this author |
| Keywords: | canonical commutation relation | | Hamiltonian | | time operator | | time-energy uncertainty relation | | phase operator | | spectrum | | regular perturbation theory | | MSC=81Q10 | | MSC=47N50 |
| Issue Date: | Sep-2008 |
| Publisher: | World Scientific Publishing Company |
| Journal Title: | Reviews in Mathematical Physics |
| Volume: | 20 |
| Issue: | 8 |
| Start Page: | 951 |
| End Page: | 978 |
| Publisher DOI: | 10.1142/S0129055X08003481 |
| Abstract: | We develop a mathematical theory of time operators of a Hamiltonian with purely discrete spectrum. The main results include boundedness, unboundedness and spectral properties of them. In addition, possible connections of a time operator of H with regular perturbation theory are discussed. |
| Rights: | Electronic version of an article published as Reviews in Mathematical Physics, Vol. 20, Issue. 8, 2008, pp.951-978, DOI:10.1142/S0129055X08003481 © World Scientific Publishing Company, http://www.worldscinet.com/rmp/rmp.shtml |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/38104 |
| 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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