The detailed structure of the two-sided symmetric chain-of-partition-labeled formalism, introduced in the first paper of this series, is systematically investigated for the three-, four- and N-body problem. This allows for a transparent comparison with previous step-by-step approaches, based on analogical or recurrence procedures. Chain elementary T-operators, related to physical transition amplitudes, are introduced from the very beginning through an explicit definition from which their dynamical equations can be straightforwardly derived. In the framework of our general chain-of-partition-labeled approach, the different aspects and the complexities of the N-body problem, which are differently emphasized in the various existing formulations, can be handled under a unifying perspective.
New developments inN-body scattering theory. — II
CATTAPAN, GIORGIO;
1984
Abstract
The detailed structure of the two-sided symmetric chain-of-partition-labeled formalism, introduced in the first paper of this series, is systematically investigated for the three-, four- and N-body problem. This allows for a transparent comparison with previous step-by-step approaches, based on analogical or recurrence procedures. Chain elementary T-operators, related to physical transition amplitudes, are introduced from the very beginning through an explicit definition from which their dynamical equations can be straightforwardly derived. In the framework of our general chain-of-partition-labeled approach, the different aspects and the complexities of the N-body problem, which are differently emphasized in the various existing formulations, can be handled under a unifying perspective.Pubblicazioni consigliate
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