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

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Author

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.

Publishing year

2006

Language

English

Pages

139-156

Publication/Series

Letters in Mathematical Physics

Volume

78

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Schrödinger operator
  • spectral analysis.

Status

Published

ISBN/ISSN/Other

  • ISSN: 0377-9017