Given a unitary representation U of an Abelian group G and a subgroup H , we characterize the positive operator valued measures based on the quotient group G / H and covariant with respect to U. Some physical examples are considered. Among them, phase and phase-difference observables are particularly important
Positive operator valued measures covariant with respect to an abelian group
CASSINELLI, GIOVANNI;DE VITO, ERNESTO;TOIGO, ALESSANDRO
2004-01-01
Abstract
Given a unitary representation U of an Abelian group G and a subgroup H , we characterize the positive operator valued measures based on the quotient group G / H and covariant with respect to U. Some physical examples are considered. Among them, phase and phase-difference observables are particularly important
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