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Showing papers by "University of Alcalá published in 1978"


Journal ArticleDOI
TL;DR: In this paper, the problem of getting the Galilei group as a limit of the Poincare group has been solved in a rigorous manner using the generalized contraction introduced by Doebner and Melsheimer.
Abstract: The problem of getting the Galilei group as a limit of the Poincare group has been solved in a rigorous manner. We use the generalized contraction introduced by Doebner and Melsheimer. Good physical reasons are given for keepingE3 invariant in the contraction procedure, in spite of other attempts made in this direction. Group representations are contracted by using well-defined mathematical methods studied by Mickelsson and Niederle. Ill-defined contracted states do not appear in this way. An intriguing connection between localizability and contraction has energed through this work. Some physical conclusions are associated to this feature.

7 citations