Spinor particle. An indeterminacy in the motion of relativistic dynamical systems with separately fixed mass and spin

Details Spinor particle. An indeterminacy in the motion of relativistic dynamical systems with separately fixed mass and spin Spinor particle. An indeterminacy in the motion of relativistic dynamical systems with separately fixed mass and spin

2011-11-07

arxiv.org/abs/1111.1583v1

2012 J. Phys.: Conf. Ser. 343 012017

Physics

Mathematical Physics

10 pages, 1 figure

Scientific paper

10.1088/1742-6596/343/1/012017

We give an argument that a broad class of geometric models of spinning relativistic particles with Casimir mass and spin being separately fixed parameters, have indeterminate worldline (while other spinning particles have definite worldline). This paradox suggests that for a consistent description of spinning particles something more general than a worldline concept should be used. As a particular case, we study at the Lagrangian level the Cauchy problem for a spinor particle and then, at the constrained Hamiltonian level, we generalize our result to other particles.

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