Martina L. Dynamics in the non-commutative plane and generalizations, talk at The Workshop on GDEq and Integrability, 11-15 October 2010, Hradec nad Moravici, Czech Republic (abstract)
Speaker: Luigi Martina
Title: Dynamics in the non-commutative plane and generalizations
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.
Slides: Martina L. Dynamics in the non-commutative plane and generalizations (presentation at The Workshop on Geometry of Differential Equations and Integrability, 11-15 October 2010, Hradec nad Moravici, Czech Republic).pdf