Schrödinger Operators The Quantum Mechanical Many-Body Problem
Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Erik Balslev(Editor)
Springer (Publisher)
Published on 20. May 1992
Book
Hardback
VIII, 264 pages
978-3-540-55490-5 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Dimensions
Height: 24.2 cm
Width: 17 cm
Weight
510 gr
ISBN-13
978-3-540-55490-5 (9783540554905)
DOI
10.1007/3-540-55490-4
Schweitzer Classification
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Erik Balslev
Schrödinger Operators The Quantum Mechanical Many-Body Problem
Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Book
08/2014
Springer
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Erik Balslev
Schrödinger Operators The Quantum Mechanical Many-Body Problem
Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
E-Book
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Content
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.