Geometric constructions underlying relativistic description of Spin on the base of non-Grassmann Vector-Like Variable

Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov

Research output: Contribution to journal › Article

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	https://doi.org/10.3842/SIGMA.2014.012
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

Deriglazov, A. A., & Pupasov-Maksimov, A. M. (2014). Geometric constructions underlying relativistic description of Spin on the base of non-Grassmann Vector-Like Variable. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10, [012]. https://doi.org/10.3842/SIGMA.2014.012

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Access to Document

10.3842/SIGMA.2014.012