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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Vydáno v:Progress of theoretical and experimental physics Ročník 2020; číslo 6
Hlavní autor: Katagiri, So
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Oxford University Press 01.06.2020
Témata:
Coding theory
Fourier transforms
Information theory
Quantum physics
A00
A60
ISSN:2050-3911, 2050-3911
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptaa065