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Geometric constructions underlying relativistic description of spin on the base of non-Grassmann vector-like variable. (English) Zbl 1287.53018
Summary: 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 a vector-like variable.

MSC:
53B50 Applications of local differential geometry to the sciences
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81S05 Commutation relations and statistics as related to quantum mechanics (general)
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