2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58438We study the asymptotic behavior, as Planck's constant $\hbar\to 0$, of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $μ\mathbf{B}(x)$ and an electric field. The magnetic field strength $μ$ is allowed to tend to infinity as $\hbar\to 0$. Two main types of results are established: in the first $μ\hbar\le constant$ as $\hbar\to 0$, with magnetic fields of arbitrary direction; the second results are uniform with respect to $μ\ge 0$ but the magnetic fields have constant direction. The results on the Pauli operator complement recent work of Sobolev.Mathematical PhysicsSpectral TheorySemi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fieldstext