Canonical formalism for quasi-classical particle "Zitterbewegung" in Ostrohrads'kyj mechanics (1407.4006v1)

Published 15 Jul 2014 in math-ph, math.DG, and math.MP

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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Authors (1)

Roman Matsyuk

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