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arXiv · 1407.4006

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

Roman Matsyuk
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Abstract

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 Mathisson appears then as a constrained subsystem of the previous system. Differential-geometric mechanisms offered in this work are formulated in a fairy general manner, although revealed here in a particular example of physical meaning.

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Roman Matsyuk. 2014-07-15. Canonical formalism for quasi-classical particle "Zitterbewegung" in Ostrohrads'kyj mechanics. https://arxiv.org/abs/1407.4006

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