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The homogeneous canonical formalism of Rund is applied to the second-orderLagrangian model of the self-interacting particle of Bopp. The quasi-classicalfree spinning particle of Mathisson appears then as a constrained subsystem ofthe previous system. Differential-geometric mechanisms offered in this work areformulated in a fairy general manner, although revealed here in a particularexample of physical meaning.

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