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