GEOMETRY AND SPECTRUM IN 2D MAGNETIC WELLS

被引：28

作者：

Raymond, Nicolas ^{[1
]}

San Vu Ngoc ^{[1
]}

机构：

[1] Univ Rennes 1, IRMAR, UMR 6625, Campus Beaulieu, F-35042 Rennes, France

来源：

ANNALES DE L INSTITUT FOURIER | 2015年 / 65卷 / 01期

关键词：

magnetic field; normal form; spectral theory; semiclassical limit; Hamiltonian flow; microlocal analysis; SEMICLASSICAL ANALYSIS; SCHRODINGER OPERATOR; NEUMANN LAPLACIAN; ASYMPTOTICS; FIELD; BOTTLES;

D O I：

10.5802/aif.2927

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the classical mechanics and spectral analysis of a pure magnetic Hamiltonian in R-2. It is established that both the dynamics and the semiclassical spectral theory can be treated through a Birkhoff normal form and reduced to the study of a family of one dimensional Hamiltonians. As a corollary, recent results by Helffer-Kordyukov are extended to higher energies.

引用

页码：137 / 169

页数：33

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