Abstract
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.
| Original language | English |
|---|---|
| Article number | 012 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 10 |
| DOIs | |
| Publication status | Published - 8 Feb 2014 |
| Externally published | Yes |
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Keywords
- Dirac equation
- Semiclassical description of relativistic spin
- Theories with constraints
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Mathematical Physics
Cite this
Geometric constructions underlying relativistic description of Spin on the base of non-Grassmann Vector-Like Variable. / Deriglazov, Alexei A.; Pupasov-Maksimov, Andrey M.
In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 10, 012, 08.02.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Geometric constructions underlying relativistic description of Spin on the base of non-Grassmann Vector-Like Variable
AU - Deriglazov, Alexei A.
AU - Pupasov-Maksimov, Andrey M.
PY - 2014/2/8
Y1 - 2014/2/8
N2 - 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.
AB - 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.
KW - Dirac equation
KW - Semiclassical description of relativistic spin
KW - Theories with constraints
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UR - http://www.scopus.com/inward/citedby.url?scp=84893673983&partnerID=8YFLogxK
U2 - 10.3842/SIGMA.2014.012
DO - 10.3842/SIGMA.2014.012
M3 - Article
VL - 10
JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SN - 1815-0659
M1 - 012
ER -