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.
Eisenhart lift of Koopman-von Neumann mechanics,
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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.