Title:THIRD-ORDER RELATIVISTIC DYNAMICS: CLASSICAL SPINNING
PARTICLE TRAVELLING IN A PLANE
Authors:R.Matsyuk (Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, 15 Dudayev St., 290005 L'viv, Ukraine)
Mathisson's `new mechanics' of a relativistic spinning particle is shown to follow, in the case of planar motion, from only general requirements of relativistic invariance and of the dependence on third order derivatives along with the `variationality' feature. The hamiltonian counterpart ultimately recovers the Dixon equations for this case with the Pirani supplementary condition.
Key words: Lagrangian, Hamiltonian, Ostrograds'kyj mechanics, classical
spin, relativistic top
Comments: Figs. 0, Refs. 13, Tabs. 0.
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