Exotic galilean symmetry and non-commutative mechanics - High Energy Physics - TheoryReport as inadecuate




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Abstract: Some aspects of the -exotic- particle, associated with the two-parametercentral extension of the planar Galilei group are reviewed. A fundamentalproperty is that it has non-commuting position coordinates. Other andgeneralized non-commutative models are also discussed. Minimal as well asanomalous coupling to an external electromagnetic field is presented.Supersymmetric extension is also considered. Exotic Galilean symmetry is alsofound in Moyal field theory. Similar equations arise for a semiclassical Blochelectron, used to explain the anomalous-spin-optical Hall effects.



Author: P. A. Horvathy, L. Martina, P.C. Stichel

Source: https://arxiv.org/







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