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Note About Koopman-von Neumann Theory and Density Matrix
J. Kluson·June 23, 2026
Quantum Physics
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Abstract
In this short note we study Koopman-von Neumann theory for N-particle system. We argue that it is natural to identify classical N-particle distribution function as diagonal form of density matrix operator in coordinate representation. We also determine generalized BBGKY hierarchy for reduced density matrix in coordinate representation.