Covariant localizations in the torus and the phase observables

G. Cassinelli; E. De Vito; P. Lahti; J. -P. Pellonpaa

doi:10.1063/1.1425958

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Covariant localizations in the torus and the phase observables

G. Cassinelli·E. De Vito·P. Lahti·J. -P. Pellonpaa

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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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G. Cassinelli, E. De Vito, P. Lahti, J. -P. Pellonpaa. 2001-05-17. Covariant localizations in the torus and the phase observables. https://doi.org/10.1063/1.1425958

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