 96151 Iftimovici A.
 Hardcore scattering for $N\/$body systems
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Apr 24, 96

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Abstract. We prove propagation properties (maximal and
minimal velocity bounds) for
pseudoresolvents associated to
$N\/$body hamiltonians with shortrange
potentials that are infinite on a
starshaped 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 pseudoresolvents and prove that they exist and
are asymptotically
complete. For any cluster decomposition $a$, these
operators intertwine the
hardcore pseudoselfadjoint hamiltonians
corresponding to the pair
of pseudoresolvents $R$, $R_{a}$, and equal the
Abel operators constructed
in terms of hamiltonians.
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