From noncommutative sphere to nonrelativistic spin

Alexei A. Deriglazov

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing the coordinates by Pauli matrices. Following the scheme, we present two semiclassical models for description of spin without use of Grassman variables. The first model implies Pauli equation upon the canonical quantization. The second model produces nonrelativistic limit of the Dirac equation implying correct value for the electron spin magnetic moment.

Original languageEnglish
Article number016
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume6
DOIs
Publication statusPublished - 2010

Keywords

  • Noncommutative geometry
  • Nonrelativistic spin

ASJC Scopus subject areas

  • Geometry and Topology
  • Mathematical Physics
  • Analysis

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