SIGMA 10 (2014), 012, 13 pages      arXiv:1311.7005      https://doi.org/10.3842/SIGMA.2014.012

Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable

Alexei A. Deriglazov and Andrey M. Pupasov-Maksimov
Departamento de Matemática, ICE, Universidade Federal de Juiz de Fora, MG, Brasil

Received December 17, 2013, in final form February 04, 2014; Published online February 08, 2014

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.

Key words: semiclassical description of relativistic spin; Dirac equation; theories with constraints.

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