Schrödinger Operators The Quantum Mechanical Many-Body Problem

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Beschreibung

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.

This volume is devoted to the mathematical treatment of Schrödinger operators and to their application, especially to the n-body-problem. Of special importance are the contributions to the completeness problem and, on the physics side, the applications to molecular physics. It addresses researchers in both mathematical physics and functional analysis.

Klappentext

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.



Inhalt
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.

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Produktinformationen

Titel
Schrödinger Operators The Quantum Mechanical Many-Body Problem
Untertitel
Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Editor
EAN
9783662138885
ISBN
978-3-662-13888-5
Format
Kartonierter Einband
Herausgeber
Springer, Berlin
Genre
Physik & Astronomie
Anzahl Seiten
264
Gewicht
g
Größe
H13mm x B248mm x T172mm
Jahr
2014
Untertitel
Englisch
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