Simple applications of Noether's first theorem in quantum mechanics and electromagnetism

Harvey R. Brown; Peter Holland

doi:10.1119/1.1613272

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Simple applications of Noether's first theorem in quantum mechanics and electromagnetism

Harvey R. Brown·Peter Holland

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Abstract

Internal global symmetries exist for the free non-relativistic Schrödinger 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.

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Harvey R. Brown, Peter Holland. 2003-02-09. Simple applications of Noether's first theorem in quantum mechanics and electromagnetism. https://doi.org/10.1119/1.1613272

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