From noncommutative sphere to nonrelativistic spin

Alexei A. Deriglazov

Результат исследований: Материалы для журналаСтатья

2 Цитирования (Scopus)

Выдержка

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.

Язык оригиналаАнглийский
Номер статьи016
ЖурналSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Том6
DOI
СостояниеОпубликовано - 2010

Отпечаток

Non-relativistic Limit
Reparametrization
Magnetic Moment
Dirac Equation
Angular Momentum
Quantization
Model
Electron
Imply
Invariant

ASJC Scopus subject areas

  • Geometry and Topology
  • Mathematical Physics
  • Analysis

Цитировать

From noncommutative sphere to nonrelativistic spin. / Deriglazov, Alexei A.

В: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Том 6, 016, 2010.

Результат исследований: Материалы для журналаСтатья

@article{94ad4f25a2024a2ca6628967d68d09f9,
title = "From noncommutative sphere to nonrelativistic spin",
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.",
keywords = "Noncommutative geometry, Nonrelativistic spin",
author = "Deriglazov, {Alexei A.}",
year = "2010",
doi = "10.3842/SIGMA.2010.016",
language = "English",
volume = "6",
journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",
issn = "1815-0659",
publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}

TY - JOUR

T1 - From noncommutative sphere to nonrelativistic spin

AU - Deriglazov, Alexei A.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Noncommutative geometry

KW - Nonrelativistic spin

UR - http://www.scopus.com/inward/record.url?scp=84891448817&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891448817&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2010.016

DO - 10.3842/SIGMA.2010.016

M3 - Article

AN - SCOPUS:84891448817

VL - 6

JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SN - 1815-0659

M1 - 016

ER -