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

Brown, Harvey R and Holland, Peter (2003) 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.

Commentary on:Brown, Harvey and Brading, Katherine (2002) General covariance from the perspective of Noether's theorems.
EPrint Type:Preprint
Keywords:Noether, symmetry, free Schrodinger equation, Maxwell's equations, Lagrangian formalism
Subjects:Specific Sciences: Physics: Fields and Particles
Specific Sciences: Physics: Quantum Mechanics
ID Code:995
Deposited By:Brown, Harvey R
Deposited On:12 Febuary 2003

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