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Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Інший ID:
2010 Mathematics Subject Classification: 53B50; 81R05; 81S05
DOI:10.3842/SIGMA.2014.012
DOI:10.3842/SIGMA.2014.012
Посилання:
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.
Підтримка:
The work of AAD has been supported by the Brazilian foundation CNPq. AMPM thanks
CAPES for the financial support (Programm PNPD/2011).
Дата:
2014
Переглядів:
286
Завантажень:
209
Анотація:
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.
