Abstract
We show that the spin structure of elementary particles can be naturally described by the generalized Ostrogradskii Lagrangians depending on higher-order derivatives. One component of a spin is related to the rotation of a particle and the other one, caused by the dependence of a Lagrangian on the acceleration, is known as a zitterbewegung component of spin.
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Rivas, M. Generalized Lagrangians and Spinning Particles. Ukrainian Mathematical Journal 53, 1326–1339 (2001). https://doi.org/10.1023/A:1013355828712
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DOI: https://doi.org/10.1023/A:1013355828712