On the Dirac and Pauli operators with several Aharonov-Bohm solenoids
Författare
Summary, in English
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.
only one of the Pauli operators are spin-flip invariant, and this operator does not have any zero-modes.
Publiceringsår
2006
Språk
Engelska
Sidor
139-156
Publikation/Tidskrift/Serie
Letters in Mathematical Physics
Volym
78
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- Schrödinger operator
- spectral analysis.
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0377-9017