Intimate Connections: Symmetries and Conservation Laws in Quantum versus Classical Mechanics. Ruiz de Olano, P. Philosophy of Science, 84(5):1275–1288, December, 2017. ![Intimate Connections: Symmetries and Conservation Laws in Quantum versus Classical Mechanics [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex In this article, 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.
@article{ruiz_de_olano_intimate_2017,
title = {Intimate {Connections}: {Symmetries} and {Conservation} {Laws} in {Quantum} versus {Classical} {Mechanics}},
volume = {84},
issn = {00318248},
shorttitle = {Intimate {Connections}},
url = {http://0-search.ebscohost.com.wncln.wncln.org/login.aspx?direct=true&db=hus&AN=126784795&site=ehost-live},
doi = {10.1086/694108},
abstract = {In this article, 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.},
number = {5},
urldate = {2020-01-17},
journal = {Philosophy of Science},
author = {Ruiz de Olano, Pablo},
month = dec,
year = {2017},
keywords = {Conservation laws (Mathematics), Hilbert space, Quantum mechanics, Stochastic partial differential equations, Symmetries (Quantum mechanics)},
pages = {1275--1288}
}
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