Schrödinger Operators The Quantum Mechanical Many-Body Problem : Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991

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. Front Matter....Pages I-VIII Perturbations of Generalized Schrödinger Operators in Stochastic Spectral Analysis....Pages 1-15 Some Transport and Spectral Properties of Disordered Media....Pages 16-47 Spectral Theory of Schrödinger Operators with Very Long Range Potentials....Pages 48-55 Asymptotic completeness of long range N -body systems. Main ideas of a proof....Pages 56-72 A remark on Asymptotic Clustering for N —particle Quantum Systems....Pages 73-78 The Energy Asymptotics of Large Coulomb Systems....Pages 79-99 Quantum Stability....Pages 100-122 On the S-matrix for three body Schrödinger Operators....Pages 123-144 Eigenvalues and Resonances of Polyatomic Molecules in the Born-Oppenheimer Approximation....Pages 145-152 Asymptotic Neutrality of Polyatomic Molecules....Pages 153-174 Time-Delay in Short Range Potential Scattering....Pages 175-185 On smoothness of the N-body S-matrix....Pages 186-193 Semiclassical Approximation for Schrödinger Operators at High Energy....Pages 194-210 On the Magnetic Stark Resonances in Two Dimensional Case....Pages 211-233 Radiation Conditions and Scattering Theory for N-Particle Schrödinger Operators....Pages 234-247 Gevrey Frequency Set and Semi—Classical Behaviour of Wave Packets....Pages 248-264 In these proceedings basic questions regarding n-body Schrodinger 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, and energy asymptotics of large Coulomb systems.