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arxiv: quant-ph/0302062 · v1 · submitted 2003-02-09 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords electromagnetismnoethersymmetrieswavefunctionanalogousapplicationsassociatedcharges--the
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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.

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