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R. Fürth's 1933 paper "On certain relations between classical statistics and quantum mechanics" ["Über einige Beziehungen zwischen klassischer Statistik und Quantenmechanik", Zeitschrift für Physik, 81 143–162].
- Source :
-
European Physical Journal H . 5/15/2023, Vol. 48 Issue 1, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- We present a translation of the 1933 paper by R. Fürth in which a profound analogy between quantum fluctuations and Brownian motion is pointed out. Fürth highlights the existence of uncertainty relations involving the variance of a statistically conserved quantity of a non-equilibrium thermodynamic indicator and the variance of the corresponding current velocity. The phenomenon is entirely classical and traces back to the effect of a fluctuating environment on a measured system. In some sense, Fürth's paper also opened the way to the stochastic methods of quantization developed almost 30 years later by Edward Nelson and others. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21026459
- Volume :
- 48
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- European Physical Journal H
- Publication Type :
- Academic Journal
- Accession number :
- 163727675
- Full Text :
- https://doi.org/10.1140/epjh/s13129-023-00052-5