Schrödinger Operators The Quantum Mechanical Many-Body Problem (eBook, PDF)

Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991
Redaktion: Balslev, Erik

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 264
• Erscheinungstermin: 11. August 2005
• Englisch
• ISBN-13: 9783540471073
• Artikelnr.: 52929773

Inhaltsangabe

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.