Spatial Noncommutativity in a Rotating Frame

Physics

Scientific paper

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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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