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Scattering Theory: Some Old and New Problems

Name: Scattering Theory: Some Old and New Problems
Brand: Springer, Berlin
SKU: 01567424
Price: 37.69 EUR
Availability: InStock
Author: Dmitri R. Yafaev
ISBN: 9783540675877

Some Old and New Problems

Dmitri R. Yafaev

Lingua

Tedesco

Libro In brossura

Codice Libristo: 01567424

Casa editrice Springer, Berlin, novembre 1999

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolu... Descrizione completa

Codice Libristo: 01567424

92 b

37.69 €

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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 Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. We construct also potentials for which asymptotic completeness is violated. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger 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.