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On a possible approach to the variable-mass problem

Quantum Physics 2015-06-26 v2 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

The mass operator M is introduced as an independent dynamical variable which is taken as the translation generator P_4 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'' (SU_2) symmetries in a non-trivial fashion.

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Cite

@article{arxiv.quant-ph/0206057,
  title  = {On a possible approach to the variable-mass problem},
  author = {Wilhelm I. Fushchych and Ivan Yu. Krivsky},
  journal= {arXiv preprint arXiv:quant-ph/0206057},
  year   = {2015}
}

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4 pages