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most citedSpectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: Analysis near the bottom

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math.SP2022

Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue

Bernard Helffer, Ayman Kachmar

We study the 3D Neuman magnetic Laplacian in the presence of a semi-classical parameter and a non-uniform magnetic field with constant intensity. We determine a sharp two term asym…