WKB constructions in bidimensional magnetic wells

被引：5

作者：

Bonthonneau, Yannick ^{[1
]}

Raymond, Nicolas ^{[2
]}

机构：

[1] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France

[2] Univ Angers, Lab Angevin Rech Math LAREMA, UMR 6093, SFR Math STIC, 2 Blvd Lavoisier, F-49045 Angers 01, France

来源：

MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 03期

关键词：

D O I：

10.4310/MRL.2020.v27.n3.a2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：647 / 663

页数：17

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