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.

中文翻译：

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经典力学中的测量理论

Koopman 和 von Neumann (KvN) 在经典力学公式中使用希尔伯特空间研究了经典力学中的测量理论。结果表明，经典测量和量子测量对测量设备的测量状态和记录状态给出了不同的“相对解释”。还导出了经典力学中的不确定性关系。