**Translations of Mathematical Monographs**

1992;
341 pp;
Softcover

MSC: Primary 47;
Secondary 81

**Print ISBN: 978-0-8218-0951-8
Product Code: MMONO/105.S**

List Price: $114.00

AMS Member Price: $91.20

MAA member Price: $102.60

#### You may also like

# Mathematical Scattering Theory: General Theory

Share this page
*D. R. Yafaev*

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
Schrödinger type). Addressed to graduate students as well as
researchers, this book will prove an invaluable reference and research
tool.

#### Readership

Graduate students as well as experts in theoretical and mathematical physics, differential and integral equations and mathematical analysis.

#### Reviews & Endorsements

A book one can learn from.

-- The Bulletin of Mathematics Books

Fills a gap in the literature … explanations and descriptions are clear and understandable for readers who are familiar with the framework and fundamentals of the scattering theory … provides a complete view of the time-independent theory excluding the resonance theory.

-- Zentralblatt MATH

The volume is well organized and is a fine guide for a serious reader and a good source of information to research workers in the field.

-- Bulletin of the AMS