×

On the many body problem in quantum mechanics. (English) Zbl 0809.47009

Robert, D. (ed.), Méthodes semi-classiques. Vol. 1. École d’été (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 207, 109-152 (1992).
The article gives a review on the techniques used in modern mathematical scattering theory of quantum mechanical \(N\)-body systems. Some of the topics are: microlocal propagation theory, possible partitions of unity, kinematics, expansion of commutators, further spectral properties. Most of the proofs are sketched. For an interested reader a detailed list of references gives a good overview on the recent literature.
For the entire collection see [Zbl 0773.00029].

MSC:

47A40 Scattering theory of linear operators
35P25 Scattering theory for PDEs
81U10 \(n\)-body potential quantum scattering theory
46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
PDFBibTeX XMLCite