Measurement theory in classical mechanics
Quantum Physics
2020-06-23 v2 Classical Physics
Abstract
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.
Cite
@article{arxiv.1911.07563,
title = {Measurement theory in classical mechanics},
author = {So Katagiri},
journal= {arXiv preprint arXiv:1911.07563},
year = {2020}
}
Comments
22 pages, accepted version for publication in PTEP