Landau gauge for a uniform magnetic field (source code)

= Landau gauge for a uniform magnetic field
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= Landau gauge
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For $\mathbf B=B\mathbf e_z$, the vector potential $\mathbf A=(0,Bx,0)$ is a Landau gauge. Translation invariance in $y$ turns the transverse Hamiltonian into a family of harmonic oscillators in $x$ whose centres are labelled by the conserved $y$-momentum.