Hamilton-Ostrohradskyj approach to relativistic free spherical top dynamics

R.Ya. Matsyuk

E-mail: matsyuk@lms.lviv.ua

Abstract. Dynamics of classical spinning particle in special relativity with Pirani constraint is a typical example of the generalized Hamilton theory recently developed by O. Krupkova and discovers some characteristic features of the latter.

AMSclassification. 70H05, 83A05, 49N45

Keywords. Higher-order mechanics, Generalized Hamilton equations, Inverse variational problem, Invariance, Relativistic top, Classical spin