Autoparallel variational description of the free relativistic top third order dynamics

Abstract

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 spinning particle is suggested starting from general requirements of invariance and 'variationality'.

Conf. "Differential Geometry and Its Applicatons" (Opava, Czech Republic, August 27-31, 2001). Corrected after publ.: page 456, second formula. MR1978798(2004d:70025)

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• Canonical formalism for quasi-classical particle "Zitterbewegung" in Ostrohrads'kyj mechanics
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