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Scattering theory : some old and new problems

Author: D R I︠A︡faev
Publisher: Berlin ; New York : Springer, ©2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1735.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. Some recently solved problems, such as asymptotic completeness for the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D R I︠A︡faev
ISBN: 3540675876 9783540675877
OCLC Number: 44461914
Description: xvi, 169 pages : illustrations ; 24 cm.
Contents: pt. 1. The Schrodinger operator of two-particle systems --
1. Basic concepts --
2. Short-range interactions. Asymptotic completeness --
3. Short-range interactions. Miscellaneous --
4. Long-range interactions. The scheme of smooth perturbations --
5. The generalized Fourier transform --
6. Long-range matrix potentials --
pt. II. The scattering matrix --
7. A stationary representation --
8. The short-range case --
9. The long-range case --
10. The relative scattering matrix --
pt. III. The multiparticle Schrodinger operator and related problems --
11. Setting the scattering problem --
12. Resolvent equations for three-particle systems --
13. Asymptotic completeness. A sketch of proof --
14. The scattering matrix and eigenfunctions for multiparticle systems --
15. New channels of scattering --
16. The Heisenberg model --
17. Infinite obstacle scattering.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1735.
Responsibility: Dimitri Yafaev.
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