Weak coupling asymptotics for the Pauli operator in two dimensions

2024/09/26 by Baur, Matthias · 2 citations
#81Q10 #81Q15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2409.17787

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.

Cited by

• On the behavior of the ground state energy under weak perturbation of critical quasilinear operators in ℝ^N
• Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schrödinger operator in dimension two

Related

• Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schrödinger operator in dimension two
• Virtual bound states of the Pauli operator with an Aharonov-Bohm potential
• Low Energy Asymptotics of the Spectral Shift Function for Pauli Operators with Nonconstant Magnetic Fields
• Spectral Asymptotics for Magnetic Schroedinger Operator
• On the essential spectrum of two-dimensional Pauli operators with repulsive potentials