Higher order variational origin of the Dixon's system and its relation to the quasi-classical `Zitterbewegung' in general relativity

DOI10.1016/J.DIFGEO.2011.04.020zbMath1222.70019arXiv1101.5384OpenAlexW3101854224WikidataQ115356889 ScholiaQ115356889MaRDI QIDQ719834

Roman Ya. Matsyuk

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5384

zbMATH Keywords

spinrelativistic topZitterbewegungcovariant Ostrohrads'kyj mechanicsgeneralized homogeneous Hamiltonian systems

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50) Methods of local Riemannian geometry (53B21)

Related Items (2)

Hamiltonian analysis for linearly acceleration-dependent Lagrangians ⋮ A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena

Cites Work

• Canonical formalism for quasi-classical particle "Zitterbewegung" in Ostrohrads'kyj mechanics
• A covering second-order Lagrangian for the relativistic top without forces
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