We describe all the localization observables of a quantum particle in a one-dimensional box in terms of sequences of unit vectors in a Hilbert space. An alternative representation in terms of positive semidefinite complex matrices is furnished and the commutative localizations are singled out. As a consequence, we also get a vector sequence characterization of the covariant phase observables.
Covariant localizations in the torus and the phase observables / Cassinelli, G; DE VITO, Ernesto; Lahti, P; Pellonpaa, Jp. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 43:2(2002), pp. 693-704. [10.1063/1.1425958]
Covariant localizations in the torus and the phase observables
DE VITO, Ernesto;
2002
Abstract
We describe all the localization observables of a quantum particle in a one-dimensional box in terms of sequences of unit vectors in a Hilbert space. An alternative representation in terms of positive semidefinite complex matrices is furnished and the commutative localizations are singled out. As a consequence, we also get a vector sequence characterization of the covariant phase observables.
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