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

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

Keywords

Dirac equation
Semiclassical description of relativistic spin
Theories with constraints

ASJC Scopus subject areas

Analysis
Geometry and Topology
Mathematical Physics

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10.3842/SIGMA.2014.012

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

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.",

keywords = "Dirac equation, Semiclassical description of relativistic spin, Theories with constraints",

author = "Deriglazov, {Alexei A.} and Pupasov-Maksimov, {Andrey M.}",

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KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

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