Scattering matrices for the quantum $N$ body problem
نویسندگان
چکیده
منابع مشابه
Scattering Matrices for the Quantum N Body Problem
Let H be a generalized N body Schrödinger operator with very short range potentials. Using Melrose’s scattering calculus, it is shown that the free channel ‘geometric’ scattering matrix, defined via asymptotic expansions of generalized eigenfunctions of H, coincides (up to normalization) with the free channel ‘analytic’ scattering matrix defined via wave operators. Along the way, it is shown th...
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We give a full and selfcontained account of the basic results in N{body scattering theory which emerged over the last ten years: The existence and completeness of scattering states for potentials decreasing like r ? , > p 3 ? 1. Our approach is a synthesis of earlier work and of new ideas. Global conditions on the potentials are imposed only to deene the dynamics. Asymptotic completeness is der...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02563-0