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MAGNETIC WKB CONSTRUCTIONS ON SURFACES
Abstract : This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumption that the magnetic field has a unique and non-degenerate minimum, we construct the local complex WKB approximations for eigenfunctions on a general surface. Furthermore, in the case of the Euclidean plane, with a radially symmetric magnetic field, the eigenfunctions are approximated in an exponentially weighted space.
Cited literature [23 references]
https://hal.archives-ouvertes.fr/hal-02493695
Contributor : Tho Nguyen <>
Submitted on : Friday, February 28, 2020 - 9:24:08 AM
Last modification on : Monday, March 9, 2020 - 6:16:01 PM
Contributor : Tho Nguyen <>
Submitted on : Friday, February 28, 2020 - 9:24:08 AM
Last modification on : Monday, March 9, 2020 - 6:16:01 PM
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BNRVN19-v3.pdf
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