New particle model in extended space-time and covariantization of planar   Landau dynamics
  We introduce the Maxwell-invariant extension of D=4 relativistic free particle model into ten-dimensional Maxwell tensorial space. The new model after first quantization describes in particular Lorentz frame the planar dynamics providing Landau orbits in the presence of constant magnetic field. 
Sergey Fedoruk (Lab. Theor. Physics, JINR, Dubna) and Jerzy Lukierski   (Inst. Theor. Phys., Univ. of Wroclaw)
hep-th