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.
@article{0502036,
author = {Persson, Mikael},
title = {On the Aharonov-Casher formula for different self-adjoint extensions of
the Pauli operator with singular magnetic field},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0502036}
}
Persson, Mikael. On the Aharonov-Casher formula for different self-adjoint extensions of
the Pauli operator with singular magnetic field. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502036/