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

Abstract

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.

References in corpus (2)

• Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
• Pauli operator and Aharonov Casher theorem for measure valued magnetic fields

Cited by in corpus (3)

• On the Dirac and Pauli operators with several Aharonov-Bohm solenoids
• Infiniteness of zero modes for the Pauli operator with singular magnetic field
• On eigenvalue bounds for a general class of Sturm-Liouville operators