Relativistische Bewegungsprobleme. IV Rotator-Spinteilchen in schwachen Gravitationsfeldern



The classical spin particle formerly described by a pole-dipole-like mass distribution is kinematicly realized by a non-complanar threeleg which is orthogonal to the particles worldline. Only twelve of the ten conservation laws following from LORENTZ-invariance and the nine conservation laws following from invariance against arbitrary affine leg transformations are linearly independent, corresponding to the particles twelve degrees of freedom. The interaction of the mass distribution with a weak gravitational field is introduced via the energy-momentum conservation laws, and for the affine rotator the interaction is introduced by means of an appropriate Lagrangian, the two descriptions being equivalent. The canonical formalism for the affine rotator is developed in some detail.