Scattering theory : some old and new problems / Dmitri Yafaev
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1735Langue : anglais.Éditeur : Berlin : Springer, 2000ISBN: 9783540675877.ISSN: 1617-9692.Sujet MSC : 35P25, Spectral theory and eigenvalue problems for PDEs, Scattering theory for PDEs47A40, Operator theory - General theory of linear operators, Scattering theory of linear operators
81U05, Quantum scattering theory, 2-body potential quantum scattering theory
81U10, Quantum scattering theory, n-body potential quantum scattering theoryEn-ligne : Springerlink | Zentralblatt | MathSciNet
The author discusses topics on:
– scattering theory of two-particle Schödinger operators (with short and long range perturbations)
– scattering matrix
– scattering theory of multiparticle Schödinger operators.
The book fills a gap in the literature because it emphasizes the stationary approach to the scattering theory problems. In particular, the stationary approach to long-range scattering is almost not discussed in earlier books. The author considers two essentially different versions of the stationary approach. The first of them fits it in the general framework of smooth scattering theory and the second one relies on a preliminary construction of eigenfunctions of the continuous spectrum. ... (Zentralblatt)
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