Schrödinger Operators The Quantum Mechanical Many-Body Problem

Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991

Buch | Softcover

VIII, 264 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1992
Springer Berlin (Verlag)
978-3-662-13888-5 (ISBN)

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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.

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.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	VIII, 264 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	481 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Analysis • fundamental theorem of calculus • quantum mechanics • Schroedinger Operatoren • Schroedinger operators • spectra- and scattering theory • Spektraltheorie • Streuttheorie
ISBN-10	3-662-13888-3 / 3662138883
ISBN-13	978-3-662-13888-5 / 9783662138885
Zustand	Neuware