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• W3203337368 abstract "The magnetic Schrödinger operator, with Neumann boundary condition, on a smooth, bounded, and simply connected domain $$Omega $$ of the Euclidean plane is considered in the semiclassical limit. When $$Omega $$ has a symmetry axis, the semiclassical splitting of the first two eigenvalues is analyzed. The first explicit tunneling formula in a pure magnetic field is established. The analysis is based on a pseudo-differential reduction to the boundary and the proof of the first known optimal purely magnetic Agmon estimates." @default.
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• W3203337368 date "2021-10-01" @default.
• W3203337368 modified "2023-10-01" @default.
• W3203337368 title "Purely magnetic tunneling effect in two dimensions" @default.
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• W3203337368 doi "https://doi.org/10.1007/s00222-021-01073-x" @default.
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