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

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.

9th conf. "Differential Geometry and Its Applications" (Prague, August 30 - September 3, 2004). Corrected after publ. Improved: pg. 633 (formulas 19 through 24), pg. 636. Corrected: formula (2), system on pg. 636, reference [8]. MR2271824(2007g:70035); Zbl pre05083061

References in corpus (1)

• Autoparallel variational description of the free relativistic top third order dynamics

Cited by in corpus (1)

• Towards the physical significance of the $(k^2+A)\Vert u\Vert$ metric