Schrödinger Operators The Quantum Mechanical Many-Body Problem

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Proceedings of a Workshop Held at Aarhus, Denmark 15 May – 1 August 1991, Lecture Notes in Physics 403

ISBN: 3662138883
ISBN 13: 9783662138885
Herausgeber: Erik Balslev
Verlag: Springer Verlag GmbH
Umfang: viii, 264 S.
Erscheinungsdatum: 23.08.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

InhaltsangabePerturbations 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.

Artikelnummer: 7051834 Kategorie:

Beschreibung

In these proceedings basic questions regarding n-body Schrdinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for shortrange 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.

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