A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …

This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …

This review is an extended version of my mini course at the Etats de la recherche:
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …

The x and Q 2 dependence of the single photon exchange cross section d 2 σ/dQ 2 dx and
the proton structure functions F 2 (x, Q 2) and R (x, Q 2) have been measured in deep …

We discuss the absolutely continuous spectrum of H=− d 2/dx 2+ V (x) with V almost periodic
and its discrete analog (hu)(n)= u (n+ 1)+ u (n− 1)+ V (n) u (n). Especial attention is paid to …

We consider classical acoustic waves in a medium described by a position dependent mass
density ϱ (x). We assume that ϱ (x) is a reandom perturbation of a periodic function ϱ 0 (x) …

Abstract We study continuous Anderson Hamiltonians with non-degenerate single site
probability distribution of bounded support, without any regularity condition on the single site …

This paper is an extended version of my (six-hours) lectures given at the Nordic Summer
School in Mathematics 1988. This Summer School took place in a marvelous castle in …

Two new analytically solvable models of relativistic point interactions in one dimension
(being natural extensions of the nonrelativistic δ, resp. δ′, interactions) are considered …