Scattering Theory: Some Old and New Problems

• Κύριος συγγραφέας: Yafaev, Dmitri R. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Έκδοση: 1st ed. 2000.
• Σειρά: Lecture Notes in Mathematics, 1735
• Θέματα: Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Integral equations.; Partial differential equations.; Mathematical physics.; Analysis.; Functional Analysis.; Integral Equations.; Partial Differential Equations.; Theoretical, Mathematical and Computational Physics.

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...

Πίνακας περιεχομένων:

• 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.