Von Neumann’s Entropy Does Not Correspond to Thermodynamic Entropy

Philosophy of Science 73 (2):153-174 (2006)
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Abstract

Von Neumann argued by means of a thought experiment involving measurements of spin observables that the quantum mechanical quantity is conceptually equivalent to thermodynamic entropy. We analyze Von Neumann's thought experiment and show that his argument fails. Over the past few years there has been a dispute in the literature regarding the Von Neumann entropy. It turns out that each contribution to this dispute addressed a different special case. In this paper we generalize the discussion and examine the full matrix of possibilities that are relevant for the evaluation and understanding of Von Neumann’s argument

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Author Profiles

Orly Shenker
Hebrew University of Jerusalem
Meir Hemmo
University of Haifa

Citations of this work

Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.
Quantum Foundations of Statistical Mechanics and Thermodynamics.Orly Shenker - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge. pp. Ch. 29.
Information vs. entropy vs. probability.Orly Shenker - 2019 - European Journal for Philosophy of Science 10 (1):1-25.
How to spell out the epistemic conception of quantum states.Simon Friederich - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (3):149-157.

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