We prove that the integrated density of states (IDS) of random Schrödinger operators with
Anderson-type potentials on L 2 (R d) for d≥ 1 is locally Hölder continuous at all energies …

We survey some aspects of the theory of the integrated density of states (IDS) of random
Schroedinger operators. The first part motivates the problem and introduces the relevant …

Random Schrödinger operators are models for the quantum mechanical description of
disordered media. The main aim of the analysis of such models is the understanding of the …

arxiv:math-ph/0510055v2 2 Nov 2005 Recent developments in quantum mechanics with
magnetic fields Page 1 arxiv:math-ph/0510055v2 2 Nov 2005 Recent developments in …

The object of the present study is the integrated density of states of a quantum particle in
multi-dimensional Euclidean space which is characterized by a Schrödinger operator with a …

We prove the existence of dynamical delocalization for random Landau Hamiltonians near
each Landau level. Since typically there is dynamical localization at the edges of each …

We prove that the integrated density of states of random Schrödinger operators with
Anderson-type potentials on L 2 (ℝ d), for d≥ 1, is locally Hölder continuous at all energies …

The diamagnetic inequality for the magnetic Schrödinger semigroup is extended to the
difference of the semigroups of magnetic Schrödinger operators with Neumann and Dirichlet …

Electronic properties of amorphous or non-crystalline disordered solids are often modelled
by one-particle Schrödinger operators with random potentials which are ergodic with respect …

We study spectra of Schrödinger operators on ℝ d. First we consider a pair of operators
which differ by a compactly supported potential, as well as the corresponding semigroups …