On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
Texas State University-San Marcos, Department of Mathematics
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.
Schrödinger operators, Spectral analysis
Persson, M. (2006). On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field. <i>Electronic Journal of Differential Equations, 2005</i>(55), pp. 1-16.