Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 1080-1088
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Two-cluster–two-cluster scattering amplitudes for N-body quantum systems are studied. Our attention is restricted to energies below the lowest three-cluster threshold. For potentials falling off like r−1−δ it is proved that in this energy range these amplitudes exist, are continuous, and that the asymptotic completeness holds. Moreover, if the potentials fall off exponentially it is proved that these amplitudes can be meromorphically continued in the energy, with square root or logarithmic branch points at the two-cluster thresholds.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527550
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