From Noncommutative Sphere to Nonrelativistic Spin
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
From Noncommutative Sphere to Nonrelativistic Spin
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| Creator |
Deriglazov, A.A.
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| 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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| Date |
2019-02-07T19:15:26Z
2019-02-07T19:15:26Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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