Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with a model with complicated structure of constraints. In this work we describe an...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146842 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable / A.A. Deriglazov, A.M. Pupasov-Maksimov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748665650610176 |
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| author | Deriglazov, A.A. Pupasov-Maksimov, A.M. |
| author_facet | Deriglazov, A.A. Pupasov-Maksimov, A.M. |
| citation_txt | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable / A.A. Deriglazov, A.M. Pupasov-Maksimov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with a model with complicated structure of constraints. In this work we describe and discuss the spin fiber bundle which appeared in various mechanical models where spin is described by vector-like variable.
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| first_indexed | 2025-12-07T20:56:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146842 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:56:19Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Deriglazov, A.A. Pupasov-Maksimov, A.M. 2019-02-11T17:05:55Z 2019-02-11T17:05:55Z 2014 Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable / A.A. Deriglazov, A.M. Pupasov-Maksimov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53B50; 81R05; 81S05 DOI:10.3842/SIGMA.2014.012 https://nasplib.isofts.kiev.ua/handle/123456789/146842 Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with a model with complicated structure of constraints. In this work we describe and discuss the spin fiber bundle which appeared in various mechanical models where spin is described by vector-like variable. The work of AAD has been supported by the Brazilian foundation CNPq. AMPM thanks
 CAPES for the financial support (Programm PNPD/2011). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable Article published earlier |
| spellingShingle | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable Deriglazov, A.A. Pupasov-Maksimov, A.M. |
| title | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable |
| title_full | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable |
| title_fullStr | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable |
| title_full_unstemmed | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable |
| title_short | Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable |
| title_sort | geometric constructions underlying relativistic description of spin on the base of non-grassmann vector-like variable |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146842 |
| work_keys_str_mv | AT deriglazovaa geometricconstructionsunderlyingrelativisticdescriptionofspinonthebaseofnongrassmannvectorlikevariable AT pupasovmaksimovam geometricconstructionsunderlyingrelativisticdescriptionofspinonthebaseofnongrassmannvectorlikevariable |