MAGNETIC SCHRODINGER OPERATOR: GEOMETRY, CLASSICAL AND QUANTUM DYNAMICS AND SPECTRAL ASYMPTOTICS

被引：1

作者：

Ivrii, Victor ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

MOSCOW MATHEMATICAL JOURNAL | 2007年 / 7卷 / 03期

关键词：

Magnetic Schrodinger operator; dynamics; periodic trajectories logarithmic uncertainty principle;

D O I：

10.17323/1609-4514-2007-7-3-461-479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

I study the Schrodinger operator with the strong magnetic field, considering links between geometry of magnetic field, classical and quantum dynamics associated with operator and spectral asymptotics. In particular, I will discuss the role of short periodic trajectories.

引用

页码：461 / 479

页数：19

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