Weak coupling asymptotics for the Pauli operator in two dimensions
Spectral Theory
2025-08-04 v2 Mathematical Physics
math.MP
Abstract
We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely.
Keywords
Cite
@article{arxiv.2409.17787,
title = {Weak coupling asymptotics for the Pauli operator in two dimensions},
author = {Matthias Baur},
journal= {arXiv preprint arXiv:2409.17787},
year = {2025}
}
Comments
26 pages; updated to the published version