Eigenvalues and eigenfunctions for the two dimensional Schrodinger operator with strong magnetic field

被引：2

作者：

Yoshida, Naoya ^{[1
]}

机构：

[1] Ritsumeikan Univ, Grad Sch Sci & Engn, 1-1-1 Noji Higashi, Kusatsu 5258577, Japan

来源：

ASYMPTOTIC ANALYSIS | 2020年 / 120卷 / 1-2期

关键词：

Landau level; effective Hamiltonian; WKB construction; pseudodifferential calculus; Bohr-Sommerfeld quantization condition; SPECTRAL ASYMPTOTICS; TRACE FORMULA;

D O I：

10.3233/ASY-191585

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the eigenvalues of the two-dimensional Schrodinger operator with a large constant magnetic field perturbed by a decaying scalar potential. For each Landau level, we give the precise asymptotic distribution of eigenvalues created by the minimum, maximum and the closed energy curve of the potential. Normal form reduction, WKB construction and pseudodifferential calculus are applied to the effective Hamiltonian.

引用

页码：175 / 197

页数：23

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