C Duval and P A Horváthy 2001 J. Phys. A: Math. Gen. 34 10097 doi:10.1088/0305-4470/34/47/314
Exotic Galilean symmetry in the non-commutative plane and the Hall effect
C Duval1 and P A Horváthy2
Show affiliationsQuantum 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 whose strength is the inverse of the non-commutative parameter, the system becomes singular, and 'Faddeev–Jackiw' reduction yields the 'Chern–Simons' mechanics of Dunne et al. The reduced system moves according to the Hall law.
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Issue 47 (30 November 2001)
Received 30 August 2001
Published 16 November 2001
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Exotic Galilean symmetry in the non-commutative plane and the Hall effect
C Duval and P A Horváthy 2001 J. Phys. A: Math. Gen. 34 10097
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