Quantum Scattering Theory for Several Particle Systems

ISBN-13: 9789048143054 / Angielski / Miękka / 2010 / 406 str.

L. D. Faddeev; S. P. Merkuriev

Opis

This volume is devoted to the quantum mechanical problem of the scattering of N -particles. This has long been a traditional and difficult problem of mathematical physics and its quantum analogue has many interesting applications in atomic and nuclear physics. It is also an interesting problem from a mathematical point of view. The book has seven chapters. Chapter 1 deals with the basic dynamical concepts, and wave and scattering operators are defined and their general properties are described. Chapter 2 considers the stationary formalism of scattering theory. The method of integral equations is the subject of Chapter 3. Chapters 4 and 5 are devoted to the study of wave equations in configuration space. Chapter 6 covers some problems in the mathematical foundation of scattering theory, and the final chapter discusses a number of applications of stationary scattering theory. The book concludes with comments on the existing literature and a bibliography. For researchers in mathematics and mathematical physics interested in quantum mechanical scattering theory.

Spis treści

Introduction. 1. General Aspects of the Scattering Problem. 2. Stationary Approach to Scattering Theory. 3. The Method of Integral Equation. 4. Configuration Space. Neutral Particles. 5. Charged Particles in Configuration Space. 6. Mathematical Foundation of the Scattering Problem. 7. Some Applications. 8. Comments on Literature. Bibliography. Index.