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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Progress of theoretical and experimental physics Jg. 2020; H. 6
1. Verfasser: Katagiri, So
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Oxford University Press 01.06.2020
Schlagworte:
Coding theory
Fourier transforms
Information theory
Quantum physics
A00
A60
ISSN:2050-3911, 2050-3911
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptaa065