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On the Dirac and Pauli operators with several Aharonov-Bohm solenoids

Persson Sundqvist, Mikael LU (2006) In Letters in Mathematical Physics 78(2). p.139-156
Abstract
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.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Schrödinger operator, spectral analysis.
in
Letters in Mathematical Physics
volume
78
issue
2
pages
139 - 156
publisher
Springer
external identifiers
  • scopus:33751091989
ISSN
0377-9017
DOI
10.1007/s11005-006-0110-6
language
English
LU publication?
no
id
c672f785-4493-4042-8cff-1dcaa200ecac (old id 4221716)
date added to LUP
2016-04-01 12:18:29
date last changed
2022-04-05 20:38:41
@article{c672f785-4493-4042-8cff-1dcaa200ecac,
  abstract     = {{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<br/><br>
only one of the Pauli operators are spin-flip invariant, and this operator does not have any zero-modes.}},
  author       = {{Persson Sundqvist, Mikael}},
  issn         = {{0377-9017}},
  keywords     = {{Schrödinger operator; spectral analysis.}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{139--156}},
  publisher    = {{Springer}},
  series       = {{Letters in Mathematical Physics}},
  title        = {{On the Dirac and Pauli operators with several Aharonov-Bohm solenoids}},
  url          = {{http://dx.doi.org/10.1007/s11005-006-0110-6}},
  doi          = {{10.1007/s11005-006-0110-6}},
  volume       = {{78}},
  year         = {{2006}},
}