Measurement theory in classical mechanics

Abstract We investigate measurement theory in classical mechanics in the formulation of classical mechanics by Koopman and von Neumann (KvN), which uses Hilbert space. We show a difference between classical and quantum mechanics in the “relative interpretation” of the state of the target of measurem...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics Vol. 2020; no. 6
Main Author: Katagiri, So
Format: Journal Article
Language:English
Published: Oxford Oxford University Press 01.06.2020
Subjects:
Coding theory
Fourier transforms
Information theory
Quantum physics
A00
A60
ISSN:2050-3911, 2050-3911
Online Access:Get full text
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Summary:Abstract We investigate measurement theory in classical mechanics in the formulation of classical mechanics by Koopman and von Neumann (KvN), which uses Hilbert space. We show a difference between classical and quantum mechanics in the “relative interpretation” of the state of the target of measurement and the state of the measurement device. We also derive the uncertainty relation in classical mechanics.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptaa065