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)
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__a258,
     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},
     year = {2005},
     volume = {2005},
     zbl = {1070.81051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a258/}
}
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%A Persson,  Mikael
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%J Electronic journal of differential equations
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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__a258/