Multiparticle Quantum Scattering with Applications to Nuclear, Atomic and Molecular Physics

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Springer Science & Business Media, 1997 - Mathematics - 401 pages
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The topics in this volume include the ideas of mathematicians, physicists and chemists in the area of multiparticle scattering theory. Scattering theory (or collision theory as it is often called) is a fundamental area of theory and computation in both physics and chemistry. The correct formulation of scattering theory for two-body collisions is now well worked out, but systems with three or more particles still present fundamental unmet challenges, both in the formulations of the problem and in the interpretation of computational results. A key issue in the mathematical foundations is asymptotic completeness, which says that any state of a quantum system is a superposition of bound and scattering states. Key issues on the physical side are concerned with boundary conditions, electromagnetic fields, effective potentials and resonances.
 

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Contents

III
1
IV
19
V
83
VI
103
VII
121
VIII
147
IX
217
X
225
XI
243
XII
283
XIII
319
XIV
333
XV
343
XVI
389
Copyright

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About the author (1997)

Truhlar is with the University of Minnesota.

Barry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology.