Abstract
We give a full proof of asymptotic completeness for Schrödinger operators of two- and three-particle quantum systems. The interaction is given by pair potentials which may be of short and of long range, including Coulomb forces. We apply geometrical time-dependent methods where propagation of scattering states in phase space and in configuration space is essential. The main new results are the inclusion of long-range potentials of the two-body estimates in Section VI and for three-particle systems. But also where we recover known results some of our methods are new. Where possible we have chosen the methods which admit generalization to higher particle numbers.
Keywords
- Wave Operator
- Rapid Decay
- Asymptotic Completeness
- Singular Continuous Spectrum
- Asymptotic Observable
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Enss, V. (1985). Quantum scattering theory for two- and three-body systems with potentials of short and long range. In: Graffi, S. (eds) Schrödinger Operators. Lecture Notes in Mathematics, vol 1159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080332
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DOI: https://doi.org/10.1007/BFb0080332
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