Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Mathematical Physics
2014-02-11 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Quantum Physics
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
Cite
@article{arxiv.1311.7005,
title = {Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable},
author = {Alexei A. Deriglazov and Andrey M. Pupasov-Maksimov},
journal= {arXiv preprint arXiv:1311.7005},
year = {2014}
}