http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Scattering Theory of Classical and Quantum N-Particle Systems
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.
From the contents: Introduction -- Classical Time-Decaying Forces -- Classical 2-Body Hamiltonians -- Quantum Time-Decaying Hamiltonians -- Quantum 2-Body Hamiltonians -- Classical N-Body Hamiltonians -- Quantum N-Body Hamiltonians -- Miscellaneous Results in Real Analysis -- Operators on Hilbert Spaces -- Estimates on Functions of Operators -- Pseudo-differential and Fourier Integral Operators -- References.