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

共 50 条

[21] Quasi-classical versus non-classical spectral asymptotics for magnetic Schrodinger operators with decreasing electric potentials
Raikov, GD
Warzel, S
REVIEWS IN MATHEMATICAL PHYSICS, 2002, 14 (10) : 1051 - 1072
[22] Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrodinger Operator II: The Case of Degenerate Wells
Helffer, Bernard
Kordyukov, Yuri A.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2012, 37 (06) : 1057 - 1095
[23] Eigenvalue asymptotics for the Schrodinger operator in strong constant magnetic fields
Raikov, GD
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1998, 23 (9-10) : 1583 - 1619
[24] Uniform Spectral Asymptotics for a Schrodinger Operator on a Segment with Delta-Interaction
Borisov, D. I.
Polyakov, D. M.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2024, 31 (02) : 149 - 161
[25] THE QUASI-CLASSICAL ASYMPTOTICS OF LOCAL RIESZ MEANS FOR THE SCHRODINGER OPERATOR IN A STRONG HOMOGENEOUS MAGNETIC-FIELD
SOBOLEV, AV
DUKE MATHEMATICAL JOURNAL, 1994, 74 (02) : 319 - 429
[26] CLASSICAL AND NONCLASSICAL EIGENVALUE ASYMPTOTICS FOR MAGNETIC SCHRODINGER-OPERATORS
MATSUMOTO, H
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 95 (02) : 460 - 482
[27] Spectral asymptotics for magnetic Schrodinger operators and nilpotent Lie algebras
Kudryavtsev, OE
DOKLADY MATHEMATICS, 2002, 65 (01) : 16 - 18
[28] Discrete spectrum asymptotics for the Schrodinger operator with a singular potential and a magnetic field
Sobolev, AV
REVIEWS IN MATHEMATICAL PHYSICS, 1996, 8 (06) : 861 - 903
[29] Geometry from dynamics, classical and quantum
Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza, Spain
不详
不详
不详
Geometry from Dynamics, Classical and Quantum, (1-719):
[30] Resonances and spectral shift function for a magnetic Schrodinger operator
Khochman, Abdallah
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (04)

← 1 2 3 4 5 →