Scattering Theory: Some Old and New Problems PDF
by Dmitri R. Yafaev
Part of the Lecture Notes in Mathematics series
- Information
Description
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, such as asymptotic completeness for the Schrodinger operator with long-range and multiparticle potentials, as well as open problems, are discussed.
Potentials for which asymptotic completeness is violated are also constructed.
This corresponds to a new class of asymptotic solutions of the time-dependent Schrodinger equation.
Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory.
The book is addressed to readers interested in a deeper study of the subject.
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/05/2007
- Category:
- ISBN:9783540451709
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/05/2007
- Category:
- ISBN:9783540451709
