Measurement theory in classical mechanics is investigated in the formulation of classical mechanics by Koopman and von Neumann (KvN), using Hilbert space. It is shown that the classical and the quantum measurements give different "relative interpretations" of the measurement state and the recording state of the measurement device. The uncertainty relation in classical mechanics is also derived.
Classical mechanics without determinism
An Explanation of Spin Based on Classical Mechanics and Electrodynamics
Operator Formulation of Classical Mechanics and the Problem of Measurement
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