Ebook: 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.

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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.

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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.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-4
Classical Time-Decaying Forces....Pages 5-56
Classical 2-Body Hamiltonians....Pages 57-92
Quantum Time-Decaying Hamiltonians....Pages 93-133
Quantum 2-Body Hamiltonians....Pages 135-213
Classical N-Body Hamiltonians....Pages 215-264
Quantum N-Body Hamiltonians....Pages 265-351
Back Matter....Pages 353-444

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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.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-4
Classical Time-Decaying Forces....Pages 5-56
Classical 2-Body Hamiltonians....Pages 57-92
Quantum Time-Decaying Hamiltonians....Pages 93-133
Quantum 2-Body Hamiltonians....Pages 135-213
Classical N-Body Hamiltonians....Pages 215-264
Quantum N-Body Hamiltonians....Pages 265-351
Back Matter....Pages 353-444
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