Mathematical Scattering Theory: General Theory (Translations of Mathematical Monographs) - Hardcover

Yafaev, D. R.

Hardcover

ISBN 10: 0821845586 ISBN 13: 9780821845585

Publisher: Amer Mathematical Society, 1992

Synopsis

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.

About this edition

• Publisher: Amer Mathematical Society
• Publication date: 1992
• ISBN 10: 0821845586
• ISBN 13: 9780821845585
• Binding: Hardcover