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Proper time as an operator
http://hdl.handle.net/20.500.12000/15167
http://hdl.handle.net/20.500.12000/151673165a2a4-566a-498c-8c1a-1dafd6f94296
名前 / ファイル | ライセンス | アクション |
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Vol12p037.pdf
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||
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公開日 | 2010-01-26 | |||||||||
タイトル | ||||||||||
タイトル | Proper time as an operator | |||||||||
言語 | en | |||||||||
作成者 |
Matsumoto, Shuichi
× Matsumoto, Shuichi
× 松本, 修一
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アクセス権 | ||||||||||
アクセス権 | open access | |||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | When we quantize a system consisting of a single particle, the proper time τ and the rest mass m are usually dealt with as parameters. In the present article, however, we introduce a new quantization rule by which these quantities are regarded as operators in addition to the position and the momentum. Applying this new rule to a scalar particle and to a particle with spin 1/2, we analyze the time evolution of the operator τ. In the former case, the evolution of the proper time perfectly matches several well-established classical formulae. In the case of the particle with spin 1/2, our new rule implies that an oscillation appears in the time evolution of the operator τ. This oscillation is similar to Zitterbewegung which is well-known in the ordinary Dirac theory. We formulate one physical effect of this oscillation by considering the interaction with a gravitational field, and estimate how small it is. | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 紀要論文 | |||||||||
出版者 | ||||||||||
出版者 | Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus | |||||||||
言語 | en | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
資源タイプ | ||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
資源タイプ | departmental bulletin paper | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
識別子 | ||||||||||
識別子 | http://hdl.handle.net/20.500.12000/15167 | |||||||||
識別子タイプ | HDL | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1344-008X | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA10779580 | |||||||||
収録物名 | ||||||||||
収録物名 | Ryukyu mathematical journal | |||||||||
言語 | en | |||||||||
書誌情報 |
巻 12, p. 37-51, 発行日 1999-12-30 |