Electron. J. Diff. Eqns., Vol. 2005(2005), No. 55, pp. 1-16.

On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field

Mikael Persson

Abstract:
Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum system with singular magnetic field are studied. An Aharonov-Casher type formula is proved for the maximal Pauli extension and the possibility of approximation of the two different self-adjoint extensions by operators with regular magnetic fields is investigated.

Submitted February 17, 2005. Published May 24, 2005.
Math Subject Classifications: 81Q10, 35Q40, 47F05.
Key Words: Schrodinger operators; spectral analysis.

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Mikael Persson
Department of Mathematical Sciences, Division of Mathematics
Chalmers University of Technology and Göoteborg University
412 96 Göteborg, Sweden
email: mickep@math.chalmers.se
http://www.math.chalmers.se/~mickep

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