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arxiv: 1711.04475 · v1 · pith:ZLEHHXTKnew · submitted 2017-11-13 · 🧮 math.SP

WKB constructions in bidimensional magnetic wells

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keywords magneticconstructionsanalyticarticlebidimensionaldescribingdimensionseigenfunctions
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This article establishes, in an analytic framework and in two dimensions, the first WKB constructions describing the eigenfunctions of the pure magnetic Laplacian with low energy when the magnetic field has a unique minimum that is positive and non-degenerate.

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