Phase space observables and isotypic spaces

Physics – Quantum Physics

Scientific paper

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18 pages, no figure, Latex2e. Submitted to J. Math. Phys

Scientific paper

We give necessary and sufficient conditions for the set of Neumark
projections of a countable set of phase space observable 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 irreducible representation of the Heisenberg group.

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