On the Dirac and Pauli Operators with Several Aharonov–Bohm Solenoids

被引：0
|
作者：
Mikael Persson
机构：
[1] Chalmers University of Technology,Department of Mathematical Sciences
[2] Göteborg University,undefined
来源：
Letters in Mathematical Physics | 2006年 / 78卷
关键词：
Primary 81Q10; Secondary 35Q40; Secondary 47F05; Schrödinger operator; spectral analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the self-adjoint Pauli operators that can be realized as the square of a self-adjoint Dirac operator and correspond to a magnetic field consisting of a finite number of Aharonov–Bohm solenoids and a regular part, and prove an Aharonov–Casher type formula for the number of zero-modes for these operators. We also see that essentially only one of the Pauli operators are spin-flip invariant, and this operator does not have any zero-modes.
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页码：139 / 156
页数：17
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