Schrödinger Operators The Quantum Mechanical Many-Body Problem

Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Softcover Nachdruck of the original 1. Auflage 1992
ISBN: 978-3-662-13888-5
Verlag: Springer

Buch, Englisch, Band 403, 264 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 482 g

Reihe: Lecture Notes in Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Balslev, Erik

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Physik Quantenphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

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.