Solutions of Koopman-von Neumann equations, their superpositions, and uncertainties
The Koopman-von Neumann (KvN) formulation uses Hilbert space and probability amplitudes to describe classical mechanics. The paper shows that gauge freedom allows for separating variables, leading to canonical ensembles and naturally deriving classical uncertainty relations between dynamical time and the Liouvillian operator, suggesting a statistical interpretation of quantum-like features.