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

zbMath1329.70043arXiv1407.4006MaRDI QIDQ3416961

Roman Ya. Matsyuk

Publication date: 9 January 2007

Full work available at URL: https://arxiv.org/abs/1407.4006

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

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

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