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A recently introduced hierarchy of states of a single mode quantisedradiation field is examined for the case of centered Guassian Wignerdistributions. It is found that the onset of squeezing among such statessignals the transition to the strongly nonclassical regime. Interestingconsequences for the photon number distribution, and explicit representationsfor them, are presented.Comment: 11 Pages Revtex one eps figure. Replaced with minor changes in ref

Gaussian-Wigner distributions and hierarchies of nonclassical states in quantum optics: The single-mode case