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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146154 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | From Noncommutative Sphere to Nonrelativistic Spin / A.A. Deriglazov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862544673558495232 |
|---|---|
| author | Deriglazov, A.A. |
| author_facet | Deriglazov, A.A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-25T01:47:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146154 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T01:47:31Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Deriglazov, A.A. 2019-02-07T19:15:26Z 2019-02-07T19:15:26Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146154 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. This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html.
 The work has been supported by the Brazilian foundations CNPq (Conselho Nacional de Desenvolvimento Cient´ıfico e Tecnol´ogico - Brasil) and FAPEMIG. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications From Noncommutative Sphere to Nonrelativistic Spin Article published earlier |
| spellingShingle | From Noncommutative Sphere to Nonrelativistic Spin Deriglazov, A.A. |
| title | 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_short | From Noncommutative Sphere to Nonrelativistic Spin |
| title_sort | from noncommutative sphere to nonrelativistic spin |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146154 |
| work_keys_str_mv | AT deriglazovaa fromnoncommutativespheretononrelativisticspin |