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Scattering Theory:Some Old and New Problems (Lecture Notes in Mathematics, Vol.1735) '00

Yafaev, Dmitri R.  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月 
価格 \10,662(税込)         
発行年月 2000年06月
出版社/提供元
Springer-Verlag GmbH
出版国 ドイツ
言語 英語
媒体 冊子
装丁 paper
ページ数/巻数 XVI, 176 p.
ジャンル 洋書/理工学/数学/数学:概論
ISBN 9783540675877
商品コード 0200027257
本の性格 学術書
商品URLhttps://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200027257

内容

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. Potentials for which asymptotic completeness is violated are also constructed. 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.

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