Higher order variational origin of the Dixonʼs system and its relation to the quasi-classical ‘Zitterbewegung’ in General Relativity-Reference-Cited by-同舟云学术

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Higher order variational origin of the Dixonʼs system and its relation to the quasi-classical ‘Zitterbewegung’ in General Relativity

Published:2011-08 Issue: Volume:29 Page:S149-S155
ISSN:0926-2245
Container-title:Differential Geometry and its Applications
language:en
Short-container-title:Differential Geometry and its Applications

Author:

Matsyuk Roman Ya.

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Geometry and Topology,Analysis

Reference11 articles.

1. Dynamics of extended bodies in general relativity I. Momentum and angular momentum;Dixon;Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.,1970

2. Pole–dipole model of massless particle;Bailyn;Phys. Rev. D,1977

3. Neue Mechanik materieller Systeme;Mathisson;Acta Phys. Polon.,1937

4. Relativistic classical spinning-particle mechanics;Riewe;Nuovo Cimento B,1972

5. On the Hamilton–Jacobi theory with derivatives of higher order;Costantelos;Nuovo Cimento B,1984

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1. Hamiltonian analysis for linearly acceleration-dependent Lagrangians;Journal of Mathematical Physics;2016-06

2. A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena;Journal of Geometric Mechanics;2015

3. A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces;Journal of Geometric Mechanics;2013

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