二维磁性井的几何和频谱
Geometry and Spectrum in 2D Magnetic Wells
摘要：
本文研究了$\R^2$中纯磁哈密顿量的经典力学和谱分析。建立了动力学和半经典谱理论都可以通过Birkhoff标准形来处理，并减少到一族一维Hamilton的研究。作为推论，Helffer-Kordyukov最近的结果被推广到更高的能量。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
