Scattering Theory of Classical and Quantum N-Particle Systems (Theoretical and Mathematical Physics) - Hardcover

Derezinski, Jan; Gerard, Christian

Hardcover

ISBN 10: 3540620664 ISBN 13: 9783540620662

Publisher: Springer, 1997

Synopsis

A system of N non-relativistic classical particles interacting with pair potentials is described by a Hamiltonian of the form (0.0.1) This Hamiltonian generates a flow (t) on the phase space JR3N x JR3N. An analogous system of N quantum particles is described by a Hamiltonian of the form N 1 H := -L -Llj + L \lij(Xi - Xj)' (0.0.2) j=l 2mj l$i

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 3540620664
• ISBN 13: 9783540620662
• Binding: Hardcover
• Number of pages: 456