We give necessary and sufficient conditions for the set of Neumark projections ofa countable set of phase space observables to constitute a resolution of the identity,and we give a criteria for a phase space observable to be informationally complete.The results will be applied to the phase space observables arising from an irreduc-ible representation of the Heisenberg group.
Phase space observables and isotypic spaces
CASSINELLI, GIOVANNI;DE VITO, ERNESTO;
2000-01-01
Abstract
We give necessary and sufficient conditions for the set of Neumark projections ofa countable set of phase space observables to constitute a resolution of the identity,and we give a criteria for a phase space observable to be informationally complete.The results will be applied to the phase space observables arising from an irreduc-ible representation of the Heisenberg group.File in questo prodotto:
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