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We describe all the localization observables of a quantum particle in aone-dimensional box in terms of sequences of unit vectors in a Hilbert space.An alternative representation in terms of positive semidefinite complexmatrices is furnished and the commutative localizations are singled out. As aconsequence, we also get a vector sequence characterization of the covariantphase observables.Comment: 16 pages, no figure, Latex2

Covariant localizations in the torus and the phase observables