Geodesic
On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 81Q10, 35Q40, 47F05
Keywords: Schrödinger operators, spectral analysis 
@article{EJDE_2005__2005__a58,
     author = {Persson, Mikael},
     title = {On the {Aharonov-Casher} formula for different self-adjoint extensions of the {Pauli} operator with singular magnetic field},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a58/}
}
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Persson, Mikael. On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a58/