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

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

2005-02-11

arxiv.org/abs/math-ph/0502036v1

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

Physics

Mathematical Physics

Scientific paper

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 it
is also checked that this extension can be approximated by operators
corresponding to more regular magnetic fields.

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