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
收藏
页码：137 / 169
页数：33
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