Simple applications of Noether's first theorem in quantum mechanics and electromagnetism
Quantum Physics
2009-11-10 v1
Abstract
Internal global symmetries exist for the free non-relativistic Schr\"{o}dinger particle, whose associated Noether charges--the space integrals of the wavefunction and the wavefunction multiplied by the spatial coordinate--are exhibited. Analogous symmetries in classical electromagnetism are also demonstrated.
Cite
@article{arxiv.quant-ph/0302062,
title = {Simple applications of Noether's first theorem in quantum mechanics and electromagnetism},
author = {Harvey R. Brown and Peter Holland},
journal= {arXiv preprint arXiv:quant-ph/0302062},
year = {2009}
}
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12 pages