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 journalArticle

13 Citations (Scopus)

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 languageEnglish
Article number012
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume10
DOIs
Publication statusPublished - 8 Feb 2014
Externally publishedYes

Fingerprint

Constrained Systems
Classical Mechanics
Fiber Bundle
Differential Geometry
Quantum Mechanics
Paul Adrien Maurice Dirac
Analogue
Model

Keywords

  • Dirac equation
  • Semiclassical description of relativistic spin
  • Theories with constraints

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Mathematical Physics

Cite this

Geometric constructions underlying relativistic description of Spin on the base of non-Grassmann Vector-Like Variable. / Deriglazov, Alexei A.; Pupasov-Maksimov, Andrey M.

In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 10, 012, 08.02.2014.

Research output: Contribution to journalArticle

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