Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schrödinger operators (Q2785230)

The author gives a complete and clear study of the measure theoretic properties of the so-called Fermi surfaces (in the phase space of the system) to obtain information on the singular continuous spectrum of some periodic elliptic operators acting on vector bundles over oriented smooth Riemannian manifolds. These results apply to some Schrödinger operators, as well as some Pauli and Dirac-type operators. NEWLINENEWLINENEWLINEThe reader will find also very useful the reminders on the spectral theory of periodic elliptic operators acting on vector bundles, in the context of the well known Bloch theory, illustrated by numerous interesting examples.