Physics
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2140b&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Physics
Noncommutativity, Dirac Bracket, Nonlocality
Scientific paper
We develop an analog model for the Landau problem and its ensuing noncanonical brackets but in a relativistic context. The chosen model is the Minkowski spacetime in a rotating coordinate system where the motion turns out to be quite similar to the motion in a constant magnetic field. For high angular velocity the Hamiltonian analysis reveals a problem with constraints of second class. In this case the Dirac bracket between spatial coordinates is nonvanishing and inversely proportional to the angular velocity. Finally, the issue of apparent causality violation due to spatial noncommutativity is briefly discussed.
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