Background
Yafaev, Dimitrij Raueljevich was born on January 2, 1948 in Ufa, Union of the Soviet Socialist Republics. Son of Rauel and Serafima (Chervjakova) Yafaev.
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book
Mathematical Scattering Theory (Mathematical Surveys and Monographs) by D. R. Yafaev (2010-03-10)
http://www.amazon.com/gp/product/B01K2OHB3C/?tag=2022091-20
Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs Reprint) by D. R. Yafaev (1992-09-09)
http://www.amazon.com/gp/product/B01F9QSNYO/?tag=2022091-20
Mathematical Scattering Theory (Mathematical Surveys and Monographs)
(The main subject of this book is applications of methods ...)
The main subject of this book is applications of methods of scattering theory to differential operators, primarily the Schrodinger 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 Theory: General Theory, American Mathematical Society, 1992. The next three chapters illustrate basic theorems of abstract scattering theory, presenting, in particular, their applications to scattering theory of perturbations of differential operators with constant coefficients and to the analysis of the trace class method. In the second half of the book direct methods of scattering theory for differential operators are presented. After considering the one-dimensional case, the author returns to the multi-dimensional problem and discusses various analytical methods and tools appropriate for the analysis of differential operators, including, among others, high- and low-energy asymptotics of the Green function, the scattering matrix, ray and eikonal expansions. The book is based on graduate courses taught by the author at Saint-Petersburg (Russia) and Rennes (France) Universities and is oriented towards a reader interested in studying deep aspects of scattering theory (for example, a graduate student in mathematical physics).
http://www.amazon.com/gp/product/082180331X/?tag=2022091-20
Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs Reprint)
(Scattering theory presents an excellent example of intera...)
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 methods (of trace class and smooth perturbations) and approaches (time dependent and stationary) and discussing the relationships among them. Yafaev also fills some gaps in the monographic literature, such as the properties of the scattering matrix and the theory of the spectral shift function. The theory is developed for operators in abstract Hilbert space but is oriented to concrete applications to differential operators (of Schrodinger type). Addressed to graduate students as well as researchers, this book will prove an invaluable reference and research tool.
http://www.amazon.com/gp/product/0821809512/?tag=2022091-20
Dimitrij Raueljevich Yafaev
Edit ProfileEducation
Graduate, Leningrad U., 1971; Doctor of Philosophy in Physics, Leningrad U., 1973; Doctor of Science, Steklov Institute Mathematics 1982.
Career
Assistant professor, Leningrad U., 1973-1977; researcher, Steklov Institute Mathematics Leningrad, 1977-1982; senior researcher, Steklov Institute Mathematics Leningrad, since 1982; professor, U. de Rennes, France, since 1992.
Achievements
Works
book
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Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs Reprint)
(Scattering theory presents an excellent example of intera...)
-
Mathematical Scattering Theory (Mathematical Surveys and Monographs)
(The main subject of this book is applications of methods ...)
- Mathematical Scattering Theory (Mathematical Surveys and Monographs) by D. R. Yafaev (2010-03-10)
- Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs Reprint) by D. R. Yafaev (1992-09-09)
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Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs Reprint)
Membership
Member Mathematics Society St. Petersburg.
Interests
Connections
Married Natalia Tabanos, April 26, 1974. Children: Andrei, Ivan.
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Born
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Nationality
Russian -
Ethnicity