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. Analternative representation in terms of positive semidefinite complex matrices isfurnished and the commutative localizations are singled out. As a consequence, wealso get a vector sequence characterization of the covariant phase observables.
Covariant localizations in the torus and the phase observables
CASSINELLI, GIOVANNI;DE VITO, ERNESTO;
2002-01-01
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. Analternative representation in terms of positive semidefinite complex matrices isfurnished and the commutative localizations are singled out. As a consequence, wealso get a vector sequence characterization of the covariant phase observables.
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