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Intimate Connections: Symmetries and Conservation Laws in Quantum versus Classical Mechanics

Ruiz de Olano, Pablo (2017) Intimate Connections: Symmetries and Conservation Laws in Quantum versus Classical Mechanics. Philosophy of Science, 84 (5). pp. 1275-1288. ISSN 1539-767X

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Abstract

In this paper, I use a number of remarks made by Eugene Wigner to defend the claim that the nature of the connection between symmetries and conservation laws is different in quantum and in classical mechanics. In particular, I provide a list of three differences that obtain between the Hilbert space formulation of quantum mechanics and the Lagrangian formulation of classical mechanics. I also show that these differences are due to the fact that conservation laws are not the only consequence that symmetries have in quantum mechanics and to the fact that, in classical mechanics, the connection between symmetries and conservation laws does not always obtain.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Ruiz de Olano, Pablopabloruizdeolano@gmail.com0000-0002-7208-6152
Keywords: Symmetries, Conservation Laws, Group Theory, Eugene Wigner, Noether's Theorems
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Philosophy of Science
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Pablo Ruiz de Olano
Date Deposited: 23 Feb 2023 14:18
Last Modified: 23 Feb 2023 14:18
Item ID: 21789
Journal or Publication Title: Philosophy of Science
Publisher: University of Chicago Press
Official URL: https://www.cambridge.org/core/journals/philosophy...
DOI or Unique Handle: https://doi.org/10.1086/694108
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Philosophy of Science
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Symmetries/Invariances
Date: 2017
Page Range: pp. 1275-1288
Volume: 84
Number: 5
ISSN: 1539-767X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/21789

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