8 citations · 35 across the 20 of their papers we have counts for
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Towards the physical significance of the metric
Roman Matsyuk
We offer an example of the second order Kawaguchi metric function the extremal flow of which generalizes the flat space-time model of the semi-classical spinning particle to the fr…
Canonical formalism for quasi-classical particle "Zitterbewegung" in Ostrohrads'kyj mechanics
Roman Matsyuk
The homogeneous canonical formalism of Rund is applied to the second-order Lagrangian model of the self-interacting particle of Bopp. The quasi-classical free spinning particle of…
Autoparallel variational description of the free relativistic top third order dynamics
Roman Matsyuk
A second order variational description of the autoparallel curves of some differential-geometric connection for the third order Mathisson's 'new mechanics' of a relativistic free s…
Third-order relativistic dynamics: classical spinning particle travelling in a plane
Roman Matsyuk
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 t…