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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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Інститут математики НАН України
2014
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146842 |
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irk-123456789-1468422019-02-12T01:24:17Z Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable Deriglazov, A.A. Pupasov-Maksimov, A.M. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146842 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Deriglazov, A.A. Pupasov-Maksimov, A.M. |
| spellingShingle |
Deriglazov, A.A. Pupasov-Maksimov, A.M. Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Deriglazov, A.A. Pupasov-Maksimov, A.M. |
| author_sort |
Deriglazov, A.A. |
| title |
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_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_sort |
geometric constructions underlying relativistic description of spin on the base of non-grassmann vector-like variable |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146842 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT deriglazovaa geometricconstructionsunderlyingrelativisticdescriptionofspinonthebaseofnongrassmannvectorlikevariable AT pupasovmaksimovam geometricconstructionsunderlyingrelativisticdescriptionofspinonthebaseofnongrassmannvectorlikevariable |
| first_indexed |
2023-05-20T17:25:47Z |
| last_indexed |
2023-05-20T17:25:47Z |
| _version_ |
1796153276839755776 |