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

Publication Year:
2003
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/995
Author(s):
Brown, Harvey R; Holland, Peter
preprint description
Internal global symmetries exist for the free non-relativistic Schrodinger 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.