paper

Weak coupling asymptotics for the Pauli operator in two dimensions

arXiv:2409.17787 · doi:10.1007/s00023-025-01601-y

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.

26 pages; updated to the published version

Weak coupling asymptotics for the Pauli operator in two dimensions · wovepaper