This selective review is written as an introduction to the mathematical theory of the
Schrödinger equation for N particles. Characteristic for these systems are the cluster …

The relevance of commutator methods in spectral and scattering theory has been known for
a long time, and numerous interesting results have been obtained by such methods. The …

We give a full and self contained account of the basic results in N-body scattering theory
which emerged over the last ten years: The existence and completeness of scattering states …

We study the large time behavior of solutions to two-dimensional Euler and Navier-Stokes
equations linearized about shear flows of the mixing layer type in the unbounded channel …

In previous papers, a generalization of the Weyl calculus was introduced in connection with
the quantization of a particle moving in R n under the influence of a variable magnetic field …

We study the nature of the essential spectrum of the Dirichlet Laplacian in tubes about
infinite curves embedded in Euclidean spaces. Under suitable assumptions about the decay …

We study spectral theory for the Schrödinger operator on manifolds possessing an escape
function. A particular class of examples are manifolds with Euclidean and/or hyperbolic …

Our aim in these notes is to study spectral properties of quantum mechanical hamiltonians
with C∗-algebra techniques. The algebras which will concern us are generated by the …

Let A be a C⁎-algebra of bounded uniformly continuous functions on a finite dimensional
real vector space X such that A is stable under translations and contains the continuous …

We discuss criteria for the affiliation of a self-adjoint operator to a C*-algebra. We consider in
particular the case of graded C*-algebras and we give applications to Hamiltonians …