Generalized Lorentz-force equations

Guided by Nambu (n + 1)-dimensional phase space formalism we build a new system of dynamic equations. These equations describe a dynamic state of the corporeal system composed of n subsystems. The dynamic equations are formulated in terms of dynamic variables of the subsystems as well as in terms of dynamic variables of the corporeal system. These two sets of variables are related respectively as roots and coefficients of the n-degree polynomial equation. In the special n = 2 case, this formalism reproduces relativistic dynamics for the charged spinning particles. (C) 2001 Academic Press.