Spectral confinement and current for atoms in strong magnetic fields
S. Fournais
TL;DR
This paper investigates how strong magnetic fields confine atomic ground states to specific subspaces and uses this to compute quantum currents across a broad magnetic field range.
Contribution
It introduces a method to analyze atomic ground state confinement in strong magnetic fields and calculates quantum currents in the semiclassical regime.
Findings
Ground state confinement to lowest Landau band
Quantum current calculations in the semiclassical region
Results applicable for magnetic fields much weaker than Z^3
Abstract
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 .
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Quantum Mechanics and Non-Hermitian Physics