Infinite asymptotic of the discreet specter of the Dirac operator with a magnetic field

被引:0
作者
Sourisse, Arnaud [1 ]
Wang, Xue Ping [1 ]
机构
[1] Univ Nantes, Dept Math Jean Leray, F-44322 Nantes 3, France
关键词
operateur de Dirac; champ magnetique; valeur propre;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
On etudie l'asymptotique des valeurs propres de l'operateur de Dirac en dimension deux avec un champ magnetique variable qui tend vers l'infini. On utilise la structure supersymetique de cet operateur pour se ramener a l'etude des valeurs propres de l'operateur de Schrodinger avec un potentiel electrique egal au champ magnetique.
引用
收藏
页码:203 / 228
页数:26
相关论文
共 16 条
[1]  
CYCON H. L, 1987, Schrodinger operators with application to quantum mechanics and global geometry
[2]   THE WEYL ASYMPTOTIC FOR MAGNETIC BOTTLES [J].
DEVERDIERE, YC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (02) :327-335
[3]  
DEVERDIERE YC, 1985, PREPUBLICATION I FOU, V33, P1
[4]  
HELFFER B, 1989, ANN SCI ECOLE NORM S, V22, P515
[5]   A CHARACTERIZATION OF THE ESSENTIAL SPECTRUM OF THE SCHRODINGER OPERATOR WITH A MAGNETIC-FIELD [J].
HELFFER, B ;
MOHAMED, A .
ANNALES DE L INSTITUT FOURIER, 1988, 38 (02) :95-112
[6]   THE ESSENTIAL SPECTRUM OF TWO-DIMENSIONAL SCHRODINGER-OPERATORS WITH PERTURBED CONSTANT MAGNETIC-FIELDS [J].
IWATSUKA, A .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1983, 23 (03) :475-480
[7]   Asymptotic distribution of eigenvalues for pauli operators with nonconstant magnetic fields [J].
Iwatsuka, A ;
Tamura, H .
DUKE MATHEMATICAL JOURNAL, 1998, 93 (03) :535-574
[8]   Discreteness of spectrum for the magnetic Schrodinger operators [J].
Kondratiev, V ;
Shubin, M .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (3-4) :477-525
[9]   CLASSICAL AND NONCLASSICAL EIGENVALUE ASYMPTOTICS FOR MAGNETIC SCHRODINGER-OPERATORS [J].
MATSUMOTO, H .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 95 (02) :460-482
[10]   Eigenvalue asymptotics for weakly perturbed Dirac and Schrodinger operators with constant magnetic fields of full rank [J].
Melgaard, M ;
Rozenblum, G .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (3-4) :697-736