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 | ||||||
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| 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 |
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| 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 |
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| Date: | 2017 | ||||||
| Page Range: | pp. 1275-1288 | ||||||
| Volume: | 84 | ||||||
| Number: | 5 | ||||||
| ISSN: | 1539-767X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/21789 |
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