Measurement theory in classical mechanics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2020Embargo end date: 01 Jan 2019 English Publisher:Oxford University Press (OUP)Journal:Progress of Theoretical and Experimental Physics, volume 2,020 (eissn: 2050-3911,

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Authors: Katagiri, So;

doi: 10.1093/ptep/ptaa065 , 10.48550/arxiv.1911.07563

arXiv: 1911.07563

Measurement theory in classical mechanics

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Abstract

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.

Related Organizations

The Open University of Japan
Japan

Keywords

Quantum Physics, Classical Physics (physics.class-ph), FOS: Physical sciences, Physics - Classical Physics, Quantum Physics (quant-ph)

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