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

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

2003-02-09

arxiv.org/abs/quant-ph/0302062v1

Physics

Quantum Physics

12 pages

Scientific paper

10.1119/1.1613272

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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