World sheet of continuous helicity spinning particle in 4D Minkowski space.
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| Title: | World sheet of continuous helicity spinning particle in 4D Minkowski space. |
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| Authors: | Lyakhovich, S. L.1 (AUTHOR) sll@phys.tsu.ru, Retuntsev, I. A.1 (AUTHOR) retuntsev.i@phys.tsu.ru |
| Source: | Russian Physics Journal. Sep2025, Vol. 68 Issue 9, p1503-1511. 9p. |
| Subjects: | Particle spin, Minkowski space, Equations of motion, Representation theory, Lorentz groups, Trajectories (Mechanics), Curved surfaces, Poincare, Henri, 1854-1912 |
| Abstract: | The paper proposes a geometrical model of classsical spinning particle, whose quantization corresponds to the unitary irreducible continuous helicity representation of the Poincaré group. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in 4D Minkowski space. This fact allows deriving equations of motion for time-like particle trajectories. [ABSTRACT FROM AUTHOR] |
| Copyright of Russian Physics Journal is the property of Springer Nature 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: 190712332 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: World sheet of continuous helicity spinning particle in 4D Minkowski space. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lyakhovich%2C+S%2E+L%2E%22">Lyakhovich, S. L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sll@phys.tsu.ru</i><br /><searchLink fieldCode="AR" term="%22Retuntsev%2C+I%2E+A%2E%22">Retuntsev, I. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> retuntsev.i@phys.tsu.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Russian+Physics+Journal%22">Russian Physics Journal</searchLink>. Sep2025, Vol. 68 Issue 9, p1503-1511. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Particle+spin%22">Particle spin</searchLink><br /><searchLink fieldCode="DE" term="%22Minkowski+space%22">Minkowski space</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Representation+theory%22">Representation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+groups%22">Lorentz groups</searchLink><br /><searchLink fieldCode="DE" term="%22Trajectories+%28Mechanics%29%22">Trajectories (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Curved+surfaces%22">Curved surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Poincare%2C+Henri%2C+1854-1912%22">Poincare, Henri, 1854-1912</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The paper proposes a geometrical model of classsical spinning particle, whose quantization corresponds to the unitary irreducible continuous helicity representation of the Poincaré group. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in 4D Minkowski space. This fact allows deriving equations of motion for time-like particle trajectories. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Russian Physics Journal is the property of Springer Nature 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: 10.1007/s11182-025-03586-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1503 Subjects: – SubjectFull: Particle spin Type: general – SubjectFull: Minkowski space Type: general – SubjectFull: Equations of motion Type: general – SubjectFull: Representation theory Type: general – SubjectFull: Lorentz groups Type: general – SubjectFull: Trajectories (Mechanics) Type: general – SubjectFull: Curved surfaces Type: general – SubjectFull: Poincare, Henri, 1854-1912 Type: general Titles: – TitleFull: World sheet of continuous helicity spinning particle in 4D Minkowski space. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lyakhovich, S. L. – PersonEntity: Name: NameFull: Retuntsev, I. A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 10648887 Numbering: – Type: volume Value: 68 – Type: issue Value: 9 Titles: – TitleFull: Russian Physics Journal Type: main |
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