【预订】Mathematical Scattering Theory 9780821803318
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/ 2010-03-10
Product Details 基本信息 ISBN-13 书号 9780821803318 Author 作者 D. R. Yafaev Format 版本 精装 Pages Number 页数 444页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2010-03-10 Language 语种 英语 Book Contents 内容简介 The main subject of this book is applications of methods of scattering theory to differential operators, primarily the Schr dinger operator. There are two different trends in scattering theory for differential operators. The first one relies on the abstract scattering theory. The second one is almost independent of it. In this approach the abstract theory is replaced by a concrete investigation of the corresponding differential equation. In this book both of these trends are presented. The first half of this book begins with the summary of the main results of the general scattering theory of the previous book by the author, Mathematical Scattering Th
¥1210
【预订】Mathematical Scattering Theory 9780821809518
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/ 1992-09-09
Product Details 基本信息 ISBN-13 书号 9780821809518 Author 作者 D. R. Yafaev Format 版本 平装-胶订 Pages Number 页数 341页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1992-09-09 Language 语种 英语 Book Contents 内容简介 Scattering theory presents an excellent example of interaction between different mathematical subjects: operator theory, measure theory, the theory of differential operators and equations, mathematical analysis, and applications of these areas to quantum mechanics. Because of the interplay of these fields, a deep understanding of scattering theory can lead to deep insights into the developing world of modern mathematics. Yafaev’s book provides such an understanding of scattering theory, starting with basic principles and extending to current research. He presents a comprehensive and systematic exposition of the theory, covering different met
¥1094
【预订】Scattering Theory: Some Old and New Problems 97835406758
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/ 2000-06-26
/ 暂无出版社信息
Product Details 基本信息 ISBN-13 书号 9783540675877 Author 作者 Yafaev Format 版本 平装-胶订 Pages Number 页数 176页 Publication Date 出版日期 2000-06-26 Language 语种 英语 Book Contents 内容简介 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 Schr?dinger 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 Schr?dinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the
¥363.00
