Note About Koopman-von Neumann Theory and Density Matrix

J. Kluson

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arXiv · 2606.25085

Note About Koopman-von Neumann Theory and Density Matrix

J. Kluson

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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.

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J. Kluson. 2026-06-23. Note About Koopman-von Neumann Theory and Density Matrix. https://arxiv.org/abs/2606.25085

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