Schrödinger Operators The Quantum Mechanical Many-Body Problem
Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
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.
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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
08/2005
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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.