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Correction to ‘Generalization of Hamiltonian mechanics to a three-dimensional phase space’
http://hdl.handle.net/10655/0002000461
http://hdl.handle.net/10655/00020004614bbcccda-1e78-4212-aea0-f6dd5e09adc8
名前 / ファイル | ライセンス | アクション |
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14201_Prog.Theor.Exp.Phys.pdf (226 KB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2024-04-03 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Correction to ‘Generalization of Hamiltonian mechanics to a three-dimensional phase space’ | |||||
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 | journal article | |||||
著者 |
SATO, Naoki
× SATO, Naoki |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In a recent paper [N. Sato, Prog. Theor. Exp. Phys. 2021, 6, 063A01 (2021)] we introduced a generalization of Hamiltonian mechanics to three-dimensional phase spaces in terms of closed 3-forms. This correction addresses an error in the proof of theorem 3, which concerns the existence of a coordinate change transforming a closed 3-form into a constant form. Indeed, invertibility of a 3-form is not sufficient to ensure the existence of a solution Xt to eq. (77) when n > 3. The theorem can be corrected by restricting the class of 3-forms to those that are relevant to generalized Hamiltonian mechanics. Although the new theorem requires a stronger hypothesis, the formulation of dynamical systems with 2 invariants in terms of closed 3-forms, which is the key contribution of the paper, holds. | |||||
言語 | en | |||||
書誌情報 |
en : Progress of Theoretical and Experimental Physics 巻 2024, 号 Issue 4, April 2024, p. 049201, 発行日 2024-03-30 |
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書誌的事項 | ||||||
en | ||||||
This is a correction to: Progress of Theoretical and Experimental Physics, Volume 2021, Issue 6, June 2021, 063A01, https://doi.org/10.1093/ptep/ptab066 | ||||||
出版者 | ||||||
言語 | en | |||||
出版者 | Oxford University Press | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2050-3911 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1093/ptep/ptae036 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © The Author(s) 2024. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creati v e Commons Attribution License ( https://creativecommons.org/licenses/by/4.0/ ), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. | |||||
情報源 | ||||||
言語 | en | |||||
関連名称 | Naoki Sato, Correction to ‘Generalization of Hamiltonian mechanics to a three-dimensional phase space’, Progress of Theoretical and Experimental Physics, Volume 2024, Issue 4, April 2024, 049201, https://doi.org/10.1093/ptep/ptae036 | |||||
関連サイト | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1093/ptep/ptae036 | |||||
関連名称 | Publisher version | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
NAIS | ||||||
14201 |