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Zero modes for the magnetic Pauli operator in even-dimensional Euclidean space

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Author

Summary, in English

We study the ground state of the Pauli Hamiltonian with a magnetic field in R2d,d>1. We consider the case where a scalar potential W is present and the magnetic field B is given by B=2i ∂̄∂W. The main result is that there are no zero modes if the magnetic field decays faster than quadratically at infinity. If the magnetic field decays quadratically then zero modes may appear, and we give a lower bound for the number of them. The results in this paper partly correct a mistake in a paper from 1993.

Publishing year

2008

Language

English

Pages

111-128

Publication/Series

Letters in Mathematical Physics

Volume

85

Issue

2-3

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • even-dimensional Dirac and Pauli operators
  • magnetic fields
  • zero-modes

Status

Published

ISBN/ISSN/Other

  • ISSN: 0377-9017