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  1. 紀要論文
  2. Ryukyu mathematical journal
  3. 12巻
  1. 部局別インデックス
  2. 理学部

Proper time as an operator

http://hdl.handle.net/20.500.12000/15167
http://hdl.handle.net/20.500.12000/15167
3165a2a4-566a-498c-8c1a-1dafd6f94296
名前 / ファイル ライセンス アクション
Vol12p037.pdf Vol12p037.pdf
Item type デフォルトアイテムタイプ(フル)(1)
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

en Matsumoto, Shuichi

松本, 修一

× 松本, 修一

ja 松本, 修一

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.
内容記述タイプ Other
内容記述 紀要論文
出版者
言語 en
出版者 Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
言語
言語 eng
資源タイプ
資源タイプ departmental bulletin paper
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
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
収録物識別子タイプ NCID
収録物識別子 AA10779580
収録物名
言語 en
収録物名 Ryukyu mathematical journal
書誌情報
巻 12, p. 37-51
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