Perturbations of generalized Schrödinger operators in stochastic spectral analysis -- Some transport and spectral properties of disordered media -- Spectral theory of Schrödinger operators with very long range potentials -- Asymptotic completeness of long range N-body systems. Main ideas of a proof -- A remark on asymptotic clustering for N-particle quantum systems -- The energy asymptotics of large Coulomb systems -- Quantum stability -- On the S-matrix for three body Schrödinger operators -- Eigenvalues and resonances of polyatomic molecules in the Born-Oppenheimer approximation -- Asymptotic neutrality of polyatomic molecules -- Time-delay in short range potential scattering -- On smoothness of the N-body S-matrix -- Semiclassical approximation for Schrödinger operators at high energy -- On the magnetic stark resonances in two dimensional case -- Radiation conditions and scattering theory for N-particle Schrödinger operators -- Gevrey frequency set and semi-classical behaviour of wave packets.

In these proceedings basic questions regarding n-body Schr|dinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for short-range potentials, energy asymptotics of large Coulomb systems,asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schr|dinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schr|dinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work.