Abstract
In previous works 1,2 we have found a lagrangian description of classical elementary spinning particles where the spin is produced by the zitterbewegung and rotational motion of the particle around its center of mass. The novelty with respect to other approaches is the definition of particle. The usual canonical formulation defines a classical particle as a system whose phase space is a homogeneous space of the Poincaré group. In our approach is the kinematical space of the system which is required to be a homogeneous space of the corresponding space-time kinematical group. This definition of particle leads for a general lagrangian to depend on time, position, velocity, acceleration orientation and angular velocity of the particle. This dependence on second order derivatives of position makes neccesary to work in a generalized lagrangian formalism. One of the salient features for a general spinning particle is that the center of massq does not match with the position r of the particle and is a function of the above observables.
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References
M. Rivas, Elementary classical systems: I. Galilei free particles, J. Phys. A 18:1971 (1985).
M. Rivas, Classical relativistic spinning particles, J. Math. Phys. 30:318 (1989).
M. Rivas, Quantization of generalized spinning particles: New derivation of Dirac’s equation, (to be published) J Math. Phys. (1994).
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© 1994 Springer Science+Business Media New York
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Rivas, M. (1994). On the Space-Time Structure of the Electron. In: Barone, M., Selleri, F. (eds) Frontiers of Fundamental Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2560-8_45
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DOI: https://doi.org/10.1007/978-1-4615-2560-8_45
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6093-3
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