Scattering Theory: Some Old and New Problems
Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, suc...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1735 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Scattering theory, some old and new problems, Dmitri Yafaev, 2000, Berlin, Springer, 1 vol. (XVI-169 p.), Lecture notes in mathematics, 3-540-67587-6 • Scattering Theory: Some Old and New Problems, Texte imprimé, 9783662205273 |
Tabla de Contenidos:
- Basic concepts
- Short-range interactions. asymptotic completeness
- Short-range interactions. Miscellaneous
- Long-range interactions. The scheme of smooth perturbations
- The generalized fourier transform
- Long-range matrix potentials
- A stationary representation
- The short-range case
- The long-range case
- The relative scattering matrix
- Setting the scattering problem
- Resolvent equations for three-particle systems
- Asymptotic completeness. A sketch of proof
- The scattering matrix and eigenfunctions for multiparticle systems
- New channels of scattering
- The heisenberg model
- Infinite obstacle scattering.