Nonrelativistic spin: À la berezin marinov quantization on a sphere

A. A. Deriglazov

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Reparametrization invariant dynamics on a sphere, being parametrized by angular momentum coordinates, represents an appropriate framework for semiclassical description of nonrelativistic spin. The space can be quantized according to BerezinMarinov prescription, replacing the coordinates by Pauli matrices. Following the scheme, we present two semiclassical models for describing spin without the use of Grassmann 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
Pages (from-to)2769-2777
Number of pages9
JournalModern Physics Letters A
Volume25
Issue number32
DOIs
Publication statusPublished - 20 Oct 2010

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Dirac equation
electron spin
angular momentum
magnetic moments
matrices

Keywords

  • Canonical quantization
  • nonrelativistic spin

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

Cite this

Nonrelativistic spin : À la berezin marinov quantization on a sphere. / Deriglazov, A. A.

In: Modern Physics Letters A, Vol. 25, No. 32, 20.10.2010, p. 2769-2777.

Research output: Contribution to journalArticle

Deriglazov, A. A. / Nonrelativistic spin : À la berezin marinov quantization on a sphere. In: Modern Physics Letters A. 2010 ; Vol. 25, No. 32. pp. 2769-2777.
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