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arxiv: math-ph/0608058 · v1 · submitted 2006-08-28 · 🧮 math-ph · math.MP

Spectral confinement and current for atoms in strong magnetic fields

classification 🧮 math-ph math.MP
keywords atomsconfinementcurrentfieldsmagneticstrongallowband
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We study confinement of the ground state of atoms in strong magnetic fields to different subspaces related to the lowest Landau band. The results obtained allow us to calculate the quantum current in the entire semiclassical region $B \ll Z^3$.

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