Generalized Lagrangians and Spinning Particles

• Published in: Український математичний журнал
• Date: 2001
• Main Author: Rivas, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2001
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/172285
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized Lagrangians and Spinning Particles / M. Rivas // Український математичний журнал. — 2001. — Т. 53, № 8. — С. 1109-1120. — Бібліогр.: 16 назв. — англ.

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 a...