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Relativistische Bewegungsprobleme. IV Rotator‐Spinteilchen in schwachen Gravitationsfeldern
Author(s) -
Römer H.,
Westpfahl K.
Publication year - 1969
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19694770506
Subject(s) - physics , conservation law , affine transformation , classical mechanics , lorentz transformation , conservation of energy , lagrangian , gravitational field , formalism (music) , mathematical physics , quantum mechanics , mathematics , pure mathematics , art , musical , visual arts
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.