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

Derezinski, Jan, Gerard, Christian

ISBN 10: 364208284X / ISBN 13: 9783642082849

Published by Springer, 2010

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Bibliographic Details

• Title: Scattering Theory of Classical and Quantum N-Particle Systems (Theoretical and Mathematical Physics)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 364208284X
• ISBN 13: 9783642082849
• Binding: Paperback
• Condition: Like New
• Book Type: book

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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

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.