Conservation laws are one of the most important aspects of nature. As such, they have been intensively studied and extensively applied, and are considered to be perfectly well established. We, however, raise fundamental question about the very meaning of conservation laws in quantum mechanics. We argue that, although the standard way in which conservation laws are defined in quantum mechanics is perfectly valid as far as it goes, it misses essential features of nature and has to be revisited and extended.
Y. Aharonov, S. Popescu, D. Rohrlich, On conservation laws in quantum mechanics. Proc. Natl. Acad. Sci. 118, e1921529118 (2021). https://doi.org/10.1073/pnas.1921529118
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