Phase space observables and isotypic spaces
Quantum Physics
2015-06-26 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0004032,
title = {Phase space observables and isotypic spaces},
author = {G. Cassinelli and E. De Vito and A. Levrero and P. Lahti},
journal= {arXiv preprint arXiv:quant-ph/0004032},
year = {2015}
}
Comments
18 pages, no figure, Latex2e. Submitted to J. Math. Phys