Schrödinger Operators The Quantum Mechanical Many-Body Problem de Erik Balslev

Schrödinger Operators The Quantum Mechanical Many-Body Problem: Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991: Lecture Notes in Physics, cartea 403

Erik Balslev

en Limba Engleză Paperback – 23 aug 2014

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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Specificații

ISBN-13: 9783662138885
ISBN-10: 3662138883
Pagini: 276
Ilustrații: VIII, 264 p.
Dimensiuni: 170 x 244 x 14 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Cuprins

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.