The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disc

被引：9

作者：

Brasche, JF

Melgaard, M

机构：

[1] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden

[2] Gothenburg Univ, SE-41296 Gothenburg, Sweden

[3] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2005年 / 52卷 / 03期

关键词：

D O I：

10.1007/s00020-005-1352-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter family of self-adjoint extensions. Among the infinitely many self-adjoint extensions, we determine to which parameters the Friedrichs extension H-F corresponds and its lowest eigenvalue is found. Moreover, we note that the diamagnetic inequality holds for H-F.

引用

页码：419 / 436

页数：18