Variational principle for cylindrical curves and dynamics of spinning particles in $d=3$ Minkowski space
D. S. Kaparulin,
S. L. Lyakhovich,
I. A. Retuntsev
Abstract:We proceed from the fact that the classical paths of irreducible massive spinning particle lie on a circular cylinder with the time-like axis in Minkowski space. Assuming that all the classical paths on the cylinder are gauge-equivalent, we derive the equations of motion for the cylindrical curves. These equations are non-Lagrangian, but they admit interpretation in terms of the conditional extremum problem for a certain length functional in the class of paths subjected to the constant separation conditions. T… Show more
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