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On the Equivalence of von Neumann and Thermodynamic Entropy

arXiv
Authors: Carina E. A. Prunkl

Year

2018

Paper ID

23880

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

In 1939, von Neumann argued for the equivalence of the thermodynamic entropy and -Trρlnρ, since known as the von Neumann entropy. Hemmo and Shenker (2006) recently challenged this argument by pointing out an alleged discrepancy between the two entropies in the single particle case, concluding that they must be distinct. In this article, their argument is shown to be problematic as it a) allows for a violation of the second law of thermodynamics and b) is based on an incorrect calculation of the von Neumann entropy.

Why This Paper Matters

  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • In 1939, von Neumann argued for the equivalence of the thermodynamic entropy and -Trρlnρ, since known as the von Neumann entropy.

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