Scattering Theory of Classical and Quantum N-Particle Systems
Jan Derezinski, Christian Gerard - Scattering Theory of Classical and Quantum N-Particle Systems
Published: 1997-07-11 | ISBN: 3540620664, 364208284X | PDF | 444 pages | 9.68 MB
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.