MULTIPLE AHARONOV-BOHM EIGENVALUES: THE CASE OF THE FIRST EIGENVALUE ON THE DISK

被引：2
作者：
Abatangelo, Laura [1 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicazioni, Via Cozzi 55, I-20125 Milan, Italy
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 01期
关键词：
Magnetic Schrodinger operators; Aharonov-Bohm potential; spectral theory; genericity; SPECTRAL MINIMAL PARTITIONS; NODAL SETS; SCHRODINGER-OPERATORS; BOUNDARY-BEHAVIOR; INEQUALITIES; POTENTIALS;
D O I：
10.1090/proc/14149
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is known that the first eigenvalue for Aharonov-Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole a not equal 0.
引用
收藏
页码：179 / 190
页数：12
相关论文
共 33 条
[1]  
Abatangelo L., 2016, REND SEM MAT U POLIT, V74, P19
[2]   On multiple eigenvalues for Aharonov-Bohm operators in planar domains [J].
Abatangelo, Laura ;
Nys, Manon .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 169 :1-37
[3]   Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles [J].
Abatangelo, Laura ;
Felli, Veronica ;
Noris, Benedetta ;
Nys, Manon .
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (07) :2428-2487
[4]   On Aharonov-Bohm Operators with Two Colliding Poles [J].
Abatangelo, Laura ;
Felli, Veronica ;
Lena, Corentin .
ADVANCED NONLINEAR STUDIES, 2017, 17 (02) :283-296
[5]   ON THE LEADING TERM OF THE EIGENVALUE VARIATION FOR AHARONOV BOHM OPERATORS WITH A MOVING POLE [J].
Abatangelo, Laura ;
Felli, Veronica .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (04) :2843-2868
[6]   Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles [J].
Abatangelo, Laura ;
Felli, Veronica .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (04) :3857-3903
[7]   On the Aharonov-Bohm Hamiltonian [J].
Adami, R ;
Teta, A .
LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (01) :43-53
[8]   SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].
AHARONOV, Y ;
BOHM, D .
PHYSICAL REVIEW, 1959, 115 (03) :485-491
[9]  
[Anonymous], ANN U BUCHAR MATH SE
[10]  
Balinsky AA, 2003, MATH RES LETT, V10, P169
1234