Exotic galilean symmetry in the non-commutative plane, and the Hall effect

Details Exotic galilean symmetry in the non-commutative plane, and the Hall effect Exotic galilean symmetry in the non-commutative plane, and the Hall effect

2001-06-12

arxiv.org/abs/hep-th/0106089v3

J.Phys.A34:10097-10108,2001

Physics

High Energy Physics

High Energy Physics - Theory

Revised version. The formula for the conserved quantities is corrected; some more references added. 11 pages, LaTex, no figure

Scientific paper

10.1088/0305-4470/34/47/314

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 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, Jackiw, and Trugenberger. The reduced system moves according to the Hall law.

Affiliated with

Also associated with

No associations

Rating

Exotic galilean symmetry in the non-commutative plane, and the Hall effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exotic galilean symmetry in the non-commutative plane, and the Hall effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exotic galilean symmetry in the non-commutative plane, and the Hall effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147744