On a class of magnetic Schrödinger operators with discrete spectrum

We introduce a class of magnetic Schrödinger operators in $\mathbf {R}^n$ which exhibit pure point spectrum in a fashion that is actually easy to check. This class is an adequate generalization of the more familiar two-dimensional setting, and the proof we give for its spectral discreteness is novel, based on the use of Euclidean Dirac operators coupled to vector potentials.