On a possible approach to the variable-mass problem
Wilhelm I. Fushchych, Ivan Yu. Krivsky
Abstract
The mass operator M is introduced as an independent dynamical variable which is taken as the translation generator P4 of the inhomogenous De Sitter group. The classification of representations of the algebra P(1,4) of this group is performed and the corresponding P(1,4) invariant equations for variable-mass particles are written out. In this way we have succeeded, in particular, in uniting the ``external'' and ``internal'' (SU2) symmetries in a non-trivial fashion.
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