Derezinski J., Gerard C. Scattering Theory of Classical and Quantum N-Particle Systems

Springer-Verlag Berlin Heidelberg 1997. — (Theoretical and Mathematical Physics). — 444 pp. — ISBN: 978-3-642-08284-9 (Print) 978-3-662-03403-3 (Online).This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the classical and quantum mechanics of N-particle systems. Particular attention is paid to long-range potentials. For a large class of interactions the existence of the asymptotic velocity and the asymptotic completeness of the wave operators is shown. The book is self-contained and explains in detail concepts that deepen the understanding. As a special feature of the book, the beautiful analogy between classical and quantum scattering theory (e.g., for N-body Hamiltonians) is presented with deep insight into the physical and mathematical problems.