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Schrödinger Operators The Quantum Mechanical Many-Body Problem : Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991 / edited by Erik Balslev.
- Format:
- Book
- Series:
- Lecture Notes in Physics, 1616-6361 ; 403
- Language:
- English
- Subjects (All):
- Quantum theory.
- Spintronics.
- Mathematical analysis.
- Probabilities.
- Quantum Physics.
- Analysis.
- Probability Theory.
- Local Subjects:
- Quantum Physics.
- Spintronics.
- Analysis.
- Probability Theory.
- Physical Description:
- 1 online resource (VIII, 264 p.)
- Edition:
- 1st ed. 1992.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
- Summary:
- 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.
- Contents:
- 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.
- ISBN:
- 3-540-47107-3
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