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WKB constructions in bidimensional magnetic wells
Mathematical Research Letters ( IF 1 ) Pub Date : 2020-01-01 , DOI: 10.4310/mrl.2020.v27.n3.a2
Yannick Bonthonneau 1 , Nicolas Raymond 2
Affiliation  

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.

中文翻译:

二维磁井中的 WKB 构造

本文在分析框架和二维中建立了第一个 WKB 构造,用于描述当磁场具有唯一的正值和非简并最小值时低能量纯磁性拉普拉斯算子的本征函数。
更新日期:2020-01-01
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