Comments on the article ‘M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001’
The present note is a feedback on the article by M.O. Katanaev in Physica Scripta (2023, 98, 104 001) , where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We show that the metrics given in this paper, addmiting separat...
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| Veröffentlicht in: | Physica scripta 2024-06, Vol.99 (6), p.67002 |
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| container_title | Physica scripta |
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| creator | Obukhov, V V Osetrin, K E Shapovalov, A V |
| description | The present note is a feedback on the article by M.O. Katanaev in
Physica
Scripta (2023, 98, 104
001)
, where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We show that the metrics given in this paper, addmiting separation of variables, are special cases of V.N. Shapovalov metrics
(Siberian Mathematical Journal, 1979, 20, 790)
, finally obtained in the 70s of the last century. The results of the article in question, unlike the original ones, do not have scientific novelty and contain omissions and incorrect statements. |
| doi_str_mv | 10.1088/1402-4896/ad4182 |
| format | Article |
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Physica
Scripta (2023, 98, 104
001)
, where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We show that the metrics given in this paper, addmiting separation of variables, are special cases of V.N. Shapovalov metrics
(Siberian Mathematical Journal, 1979, 20, 790)
, finally obtained in the 70s of the last century. The results of the article in question, unlike the original ones, do not have scientific novelty and contain omissions and incorrect statements.</description><identifier>ISSN: 0031-8949</identifier><identifier>EISSN: 1402-4896</identifier><identifier>DOI: 10.1088/1402-4896/ad4182</identifier><identifier>CODEN: PHSTBO</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>Hamilton-jakobi equation ; integrals of motion ; killings vectors and tensors ; separation of variables</subject><ispartof>Physica scripta, 2024-06, Vol.99 (6), p.67002</ispartof><rights>2024 IOP Publishing Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c264t-48275d6762eb4e72fbd0f015fb464e6bf72797ac1a44f15c74a4795a52f4e22f3</cites><orcidid>0000-0003-4739-2788</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1402-4896/ad4182/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,780,784,27924,27925,53846,53893</link.rule.ids></links><search><creatorcontrib>Obukhov, V V</creatorcontrib><creatorcontrib>Osetrin, K E</creatorcontrib><creatorcontrib>Shapovalov, A V</creatorcontrib><title>Comments on the article ‘M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001’</title><title>Physica scripta</title><addtitle>PS</addtitle><addtitle>Phys. Scr</addtitle><description>The present note is a feedback on the article by M.O. Katanaev in
Physica
Scripta (2023, 98, 104
001)
, where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We show that the metrics given in this paper, addmiting separation of variables, are special cases of V.N. Shapovalov metrics
(Siberian Mathematical Journal, 1979, 20, 790)
, finally obtained in the 70s of the last century. The results of the article in question, unlike the original ones, do not have scientific novelty and contain omissions and incorrect statements.</description><subject>Hamilton-jakobi equation</subject><subject>integrals of motion</subject><subject>killings vectors and tensors</subject><subject>separation of variables</subject><issn>0031-8949</issn><issn>1402-4896</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kcFu1DAQhi0EEkvhznFOCKRka3sdOz6iVaGFVq0EnK1JYlNX2TjYbqXe-hjwEH2pPkm9CuKEehpp9H8z8_9DyFtG14y27SETlNei1fIQB8Fa_oys_rWekxWlG1a3WuiX5FVKV5RyyaVekftt2O3slBOECfKlBYzZ96OFh7vfZ-vzNXzFjBPamwqKch5ttpDsjBGzL0RwcIPRYzfaBH6Z8NOGwSbfwzHu_JjDVH_BPnQe7K_rhSpCF64jDL6sTqWTKri4vC0Mwrc--jkjvOeUbz5UoNsKGBWUsoe7P6_JC4djsm_-1gPy49PR9-1xfXr--WT78bTuuRS5eOaqGaSS3HbCKu66gTrKGtcJKazsnOJKK-wZCuFY0yuBQukGG-6E5dxtDghd5vYxpBStM3P0O4y3hlGzj9vsszX7bM0Sd0GqBfFhNlfF3VQOfEr-7j_yORmtjTRUqvIhMw9u8whj946n</recordid><startdate>20240601</startdate><enddate>20240601</enddate><creator>Obukhov, V V</creator><creator>Osetrin, K E</creator><creator>Shapovalov, A V</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4739-2788</orcidid></search><sort><creationdate>20240601</creationdate><title>Comments on the article ‘M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001’</title><author>Obukhov, V V ; Osetrin, K E ; Shapovalov, A V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-48275d6762eb4e72fbd0f015fb464e6bf72797ac1a44f15c74a4795a52f4e22f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Hamilton-jakobi equation</topic><topic>integrals of motion</topic><topic>killings vectors and tensors</topic><topic>separation of variables</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Obukhov, V V</creatorcontrib><creatorcontrib>Osetrin, K E</creatorcontrib><creatorcontrib>Shapovalov, A V</creatorcontrib><collection>CrossRef</collection><jtitle>Physica scripta</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Obukhov, V V</au><au>Osetrin, K E</au><au>Shapovalov, A V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Comments on the article ‘M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001’</atitle><jtitle>Physica scripta</jtitle><stitle>PS</stitle><addtitle>Phys. Scr</addtitle><date>2024-06-01</date><risdate>2024</risdate><volume>99</volume><issue>6</issue><spage>67002</spage><pages>67002-</pages><issn>0031-8949</issn><eissn>1402-4896</eissn><coden>PHSTBO</coden><abstract>The present note is a feedback on the article by M.O. Katanaev in
Physica
Scripta (2023, 98, 104
001)
, where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We show that the metrics given in this paper, addmiting separation of variables, are special cases of V.N. Shapovalov metrics
(Siberian Mathematical Journal, 1979, 20, 790)
, finally obtained in the 70s of the last century. The results of the article in question, unlike the original ones, do not have scientific novelty and contain omissions and incorrect statements.</abstract><pub>IOP Publishing</pub><doi>10.1088/1402-4896/ad4182</doi><tpages>4</tpages><orcidid>https://orcid.org/0000-0003-4739-2788</orcidid></addata></record> |
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| ispartof | Physica scripta, 2024-06, Vol.99 (6), p.67002 |
| issn | 0031-8949 1402-4896 |
| language | eng |
| recordid | cdi_iop_journals_10_1088_1402_4896_ad4182 |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Hamilton-jakobi equation integrals of motion killings vectors and tensors separation of variables |
| title | Comments on the article ‘M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001’ |
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