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The Moyal Function is a phase-space representation of the reduced one-particle density matrix that is particularly close to experimental quantities. We discuss basic structural features of this function for atoms and molecules, and point out a direct connection to the “non-diagonal Compton profile” obtained from coherent inelastic scattering by Schülke  et al.  ( Acta Cryst. A  42  (1986) 86).

The Structure of Electronic Moyal Functions, and their Connection with Experiment