- 96-151 Iftimovici A.
- Hard-core scattering for $N\/$-body systems
(177K, LaTeX 2.09)
Apr 24, 96
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Abstract. We prove propagation properties (maximal and
minimal velocity bounds) for
pseudo-resolvents associated to
$N\/$-body hamiltonians with short-range
potentials that are infinite on a
star-shaped domain centred at the origin.
Motivated by the fact that the invariance principle
holds for usual
\mbox{$N\/$-body} systems, we define the cluster
wave operators in terms
of pseudo-resolvents and prove that they exist and
are asymptotically
complete. For any cluster decomposition $a$, these
operators intertwine the
hard-core pseudo-selfadjoint hamiltonians
corresponding to the pair
of pseudo-resolvents $R$, $R_{a}$, and equal the
Abel operators constructed
in terms of hamiltonians.
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