Joint invariants of killing tensors and the Smorodinsky–Winternitz superintegrable potential.
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| Title: | Joint invariants of killing tensors and the Smorodinsky–Winternitz superintegrable potential. |
|---|---|
| Authors: | Smirnov, Roman G.1 (AUTHOR) Roman.Smirnov@dal.ca, Vargas, Amelia1 (AUTHOR) amelialouisevargas@gmail.com |
| Source: | International Journal of Geometric Methods in Modern Physics. Oct2026, Vol. 23 Issue 12, p1-21. 21p. |
| Subjects: | Invariant theory, Tensor fields, Integrable systems, Geometric analysis, Euclidean geometry, Mathematical invariants, Spaces of constant curvature |
| Abstract: | In this paper, we provide a geometric characterization of the Smorodinsky–Winternitz (SW) superintegrable potential within the framework of the invariant theory of Killing tensors in spaces of constant curvature. Specifically, we employ two-fold joint invariants of Killing two-tensors in the Euclidean plane to highlight the properties of the SW potential and to elucidate the geometric significance of its arbitrary parameters. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193982417 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Joint invariants of killing tensors and the Smorodinsky–Winternitz superintegrable potential. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Smirnov%2C+Roman+G%2E%22">Smirnov, Roman G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Roman.Smirnov@dal.ca</i><br /><searchLink fieldCode="AR" term="%22Vargas%2C+Amelia%22">Vargas, Amelia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> amelialouisevargas@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. Oct2026, Vol. 23 Issue 12, p1-21. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Invariant+theory%22">Invariant theory</searchLink><br /><searchLink fieldCode="DE" term="%22Tensor+fields%22">Tensor fields</searchLink><br /><searchLink fieldCode="DE" term="%22Integrable+systems%22">Integrable systems</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+analysis%22">Geometric analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Euclidean+geometry%22">Euclidean geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+invariants%22">Mathematical invariants</searchLink><br /><searchLink fieldCode="DE" term="%22Spaces+of+constant+curvature%22">Spaces of constant curvature</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we provide a geometric characterization of the Smorodinsky–Winternitz (SW) superintegrable potential within the framework of the invariant theory of Killing tensors in spaces of constant curvature. Specifically, we employ two-fold joint invariants of Killing two-tensors in the Euclidean plane to highlight the properties of the SW potential and to elucidate the geometric significance of its arbitrary parameters. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0219887825502871 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1 Subjects: – SubjectFull: Invariant theory Type: general – SubjectFull: Tensor fields Type: general – SubjectFull: Integrable systems Type: general – SubjectFull: Geometric analysis Type: general – SubjectFull: Euclidean geometry Type: general – SubjectFull: Mathematical invariants Type: general – SubjectFull: Spaces of constant curvature Type: general Titles: – TitleFull: Joint invariants of killing tensors and the Smorodinsky–Winternitz superintegrable potential. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Smirnov, Roman G. – PersonEntity: Name: NameFull: Vargas, Amelia IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02198878 Numbering: – Type: volume Value: 23 – Type: issue Value: 12 Titles: – TitleFull: International Journal of Geometric Methods in Modern Physics Type: main |
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