Scattering Theory of Classical and Quantum N-Particle Systems

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Springer Science & Business Media, Jun 5, 1997 - Science - 444 pages
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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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Contents

I
1
II
5
III
11
IV
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V
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VI
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VII
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VIII
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LXII
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LXIII
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LXIV
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LXV
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LXIX
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IX
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XIV
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XV
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XXI
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XXX
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XLI
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LVI
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XCIX
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C
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CI
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CIV
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CVI
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CVIII
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CIX
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CX
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CXI
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CXIV
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CXVIII
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CXIX
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CXXI
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CXXIII
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CXXV
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CXXVI
443
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About the author (1997)

Christian Gerard is a Professor in the Departement de Mathematiques at the Universite Paris-Sud. He was previously Directeur de Recherche at the CNRS (Centre National de la Recherche Scientifique). His research interests are the spectral and scattering theory in non-relativistic quantum mechanics and in quantum field theory.

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