8 citations · 35 across the 20 of their papers we have counts for
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physics.gen-ph2015
Variationality with second derivatives, relativistic uniform acceleration, and the 'spin'-curvature interaction in two-dimensional space-time
Roman Matsyuk
A variational formulation for the geodesic circles in two-dimensional Riemannian manifold is discovered. Some relations with the uniform relativistic acceleration and the one-dimen…
physics.class-ph2015
Quasi-Hamiltonian description of classical spin
Roman Matsyuk
A family of Lagrange functions is considered, each producing the classical relativistic free spinning particle equation of motion of the third order. On this grounds a generalized…
gr-qc2015
Relativistic top in the Ostrohrads'kyj dynamics
Roman Matsyuk
A variational equation of the fourth order for the free relativistic top is developed starting from the Dixon's system of equations for the motion of the relativistic dipole. The o…