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періодичних видань НАН України
From Noncommutative Sphere to Nonrelativistic Spin
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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From Noncommutative Sphere to Nonrelativistic Spin
Інший ID:
2010 Mathematics Subject Classification: 81R05; 81R60; 81T75
Посилання:
From Noncommutative Sphere to Nonrelativistic Spin / A.A. Deriglazov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ.
Підтримка:
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.
Дата:
2010
Переглядів:
542
Завантажень:
215
Анотація:
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.
