From Noncommutative Sphere to Nonrelativistic Spin
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 semi...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146154 |
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| Цитувати: | From Noncommutative Sphere to Nonrelativistic Spin / A.A. Deriglazov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146154 |
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dspace |
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irk-123456789-1461542019-02-08T01:23:25Z From Noncommutative Sphere to Nonrelativistic Spin Deriglazov, A.A. 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. 2010 Article From Noncommutative Sphere to Nonrelativistic Spin / A.A. Deriglazov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R05; 81R60; 81T75 http://dspace.nbuv.gov.ua/handle/123456789/146154 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Deriglazov, A.A. |
| spellingShingle |
Deriglazov, A.A. From Noncommutative Sphere to Nonrelativistic Spin Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Deriglazov, A.A. |
| author_sort |
Deriglazov, A.A. |
| title |
From Noncommutative Sphere to Nonrelativistic Spin |
| title_short |
From Noncommutative Sphere to Nonrelativistic Spin |
| title_full |
From Noncommutative Sphere to Nonrelativistic Spin |
| title_fullStr |
From Noncommutative Sphere to Nonrelativistic Spin |
| title_full_unstemmed |
From Noncommutative Sphere to Nonrelativistic Spin |
| title_sort |
from noncommutative sphere to nonrelativistic spin |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146154 |
| citation_txt |
From Noncommutative Sphere to Nonrelativistic Spin / A.A. Deriglazov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
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Symmetry, Integrability and Geometry: Methods and Applications |
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AT deriglazovaa fromnoncommutativespheretononrelativisticspin |
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2023-05-20T17:23:58Z |
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2023-05-20T17:23:58Z |
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