Schrödinger Operators The Quantum Mechanical Many-Body Problem

Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Herausgegeben:Balslev, Erik

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Physics 403
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-13888-5
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 276
• Erscheinungstermin: 23. August 2014
• Englisch
• Abmessung: 244mm x 170mm x 16mm
• Gewicht: 482g
• ISBN-13: 9783662138885
• ISBN-10: 3662138883
• Artikelnr.: 41322122

Inhaltsangabe

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.