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 language | English |
|---|---|
| Pages (from-to) | 2769-2777 |
| Number of pages | 9 |
| Journal | Modern Physics Letters A |
| Volume | 25 |
| Issue number | 32 |
| DOIs | |
| Publication status | Published - 20 Oct 2010 |
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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 journal › Article
}
TY - JOUR
T1 - Nonrelativistic spin
T2 - À la berezin marinov quantization on a sphere
AU - Deriglazov, A. A.
PY - 2010/10/20
Y1 - 2010/10/20
N2 - 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.
AB - 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.
KW - Canonical quantization
KW - nonrelativistic spin
UR - http://www.scopus.com/inward/record.url?scp=77958001992&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77958001992&partnerID=8YFLogxK
U2 - 10.1142/S0217732310033980
DO - 10.1142/S0217732310033980
M3 - Article
AN - SCOPUS:77958001992
VL - 25
SP - 2769
EP - 2777
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 32
ER -