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періодичних видань НАН України
Exotic Galilean Symmetry and Non-Commutative Mechanics
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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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| dc.contributor.author | Horváthy, P.A. | |
| dc.contributor.author | Martina, L. | |
| dc.contributor.author | Stichel, P.C. | |
| dc.date.accessioned | 2019-02-09T09:40:47Z | |
| dc.date.available | 2019-02-09T09:40:47Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 46L55; 37K65; 37L20; 83C65; 81T70 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.060 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146361 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. This review also includes results obtained jointly with C. Duval, Z. Horv´ath, J. Lukierski, M. Plyushchay and W.J. Zakrzewski, to whom we express our indebtedness. L.M. thanks the INFN - Sezione of Lecce for partial financial support under the project LE41. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Exotic Galilean Symmetry and Non-Commutative Mechanics | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
