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

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Abstract

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.

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Harvey Brown
Oxford University

Citations of this work

Two miracles of general relativity.James Read, Harvey R. Brown & Dennis Lehmkuhl - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 64:14-25.
Symmetries as by-products of conserved quantities.Diego Romero-Maltrana - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):358-368.

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References found in this work

Symmetries and Noether's theorems.Katherine Bracing & Harvey R. Brown - 2002 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. New York: Cambridge University Press. pp. 89.
General covariance from the perspective of noether's theorems.Harvey Brown & Katherine Brading - 2002 - Fenomenologia. Diálogos Possíveis Campinas: Alínea/Goiânia: Editora da Puc Goiás 79:59-86.

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