Exotic Galilean Symmetry and Non-Commutative Mechanics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Exotic Galilean Symmetry and Non-Commutative Mechanics
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| Creator |
Horváthy, P.A.
Martina, L. Stichel, P.C. |
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| Description |
Some aspects of the ''exotic'' particle, associated with the two-parameter central extension of the planar Galilei group are reviewed. A fundamental property is that it has non-commuting position coordinates. Other and generalized non-commutative models are also discussed. Minimal as well as anomalous coupling to an external electromagnetic field is presented. Supersymmetric extension is also considered. Exotic Galilean symmetry is also found in Moyal field theory. Similar equations arise for a semiclassical Bloch electron, used to explain the anomalous/spin/optical Hall effects.
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| Date |
2019-02-09T09:40:47Z
2019-02-09T09:40:47Z 2010 |
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| Type |
Article
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| Identifier |
Exotic Galilean Symmetry and Non-Commutative Mechanics / P.A. Horváthy, L. Martina, P.C. Stichel // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 70 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L55; 37K65; 37L20; 83C65; 81T70 DOI:10.3842/SIGMA.2010.060 http://dspace.nbuv.gov.ua/handle/123456789/146361 |
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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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