The note argues that the classical N-particle distribution equals the diagonal of the density matrix operator in coordinate representation and derives a generalized BBGKY hierarchy for reduced density matrices.
Uncertainty and Wigner negativity in Hilbert-space classical me- chanics,
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Note About Koopman-von Neumann Theory and Density Matrix
The note argues that the classical N-particle distribution equals the diagonal of the density matrix operator in coordinate representation and derives a generalized BBGKY hierarchy for reduced density matrices.