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Exotic galilean symmetry and the Hall effect
C. Duval, P. A. Horvathy
The ``Laughlin'' picture of the Fractional Quantum Hall effect can be derived using the ``exotic'' model based on the two-fold centrally-extended planar Galilei group. When coupled…
Exotic galilean symmetry in the non-commutative plane, and the Hall effect
C. Duval, P. A. Horváthy
Quantum Mechanics in the non-commutative plane is shown to admit the ``exotic'' symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field who…
Chaplygin gas with field-dependent Poincare symmetry
M. Hassaïne, P. A. Horváthy
The relativistic generalization of the Chaplygin gas, put forward by Jackiw and Polychronakos, is derived in Duval's Kaluza-Klein framework, using a universal quadratic Lagrangian.…
Exotic plasma as classical Hall Liquid
C. Duval Z. Horváth, P. A. Horváthy
A non-relativistic plasma model endowed with an ``exotic'' structure associated with the two-parameter central extension of the planar Galilei group is constructed. Introducing a C…