Weakly coupled bound states of Pauli operators
Spectral Theory
2014-01-24 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We consider the two-dimensional Pauli operator perturbed by a weakly coupled, attractive potential. We show that besides the eigenvalues arising from the Aharonov-Casher zero modes there are two or one (depending on whether the flux of the magnetic field is integer or not) additional eigenvalues for arbitrarily small coupling and we calculate their asymptotics in the weak coupling limit.
Cite
@article{arxiv.0903.5333,
title = {Weakly coupled bound states of Pauli operators},
author = {Rupert L. Frank and Sergey Morozov and Semjon Vugalter},
journal= {arXiv preprint arXiv:0903.5333},
year = {2014}
}
Comments
19 pages