Schrödinger Operators The Quantum Mechanical Many-Body Problem Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991 / [electronic resource] :
edited by Erik Balslev.
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
- VIII, 264 p. online resource.
- Lecture Notes in Physics, 403 0075-8450 ; .
- Lecture Notes in Physics, 403 .
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.
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.
9783540471073
10.1007/3-540-55490-4 doi
Physics.
Global analysis (Mathematics).
Distribution (Probability theory).
Quantum theory.
Physics.
Quantum Physics.
Quantum Information Technology, Spintronics.
Analysis.
Probability Theory and Stochastic Processes.
QC173.96-174.52
530.12
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.
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.
9783540471073
10.1007/3-540-55490-4 doi
Physics.
Global analysis (Mathematics).
Distribution (Probability theory).
Quantum theory.
Physics.
Quantum Physics.
Quantum Information Technology, Spintronics.
Analysis.
Probability Theory and Stochastic Processes.
QC173.96-174.52
530.12