Ground state of a spin 1/2 charged particle in an even-dimensional magnetic field (Q1314812)

This paper concerns the ground state structure of the Schrödinger operator \(H\) with a magnetic field for a spin 1/2 charged particle in the \(2d\)-dimensional Euclidean space \(\mathbb{R}^{2d}\) \((d\geq 1)\). In certain conditions on the magnetic field the structure of \(\ker H\) is clarified.