On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field
Mathematical Physics
2014-06-11 v1 math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.math-ph/0502036,
title = {On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field},
author = {Mikael Persson},
journal= {arXiv preprint arXiv:math-ph/0502036},
year = {2014}
}