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Scattering matrices for the quantum N body problem

Hassell, Andrew

Description

Let H be a generalized N body Schrodinger 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 that the free channel generalized eigenfunctions of Herbst-Skibsted and Jensen-Kitada coincide with the...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
URI: http://hdl.handle.net/1885/88958
Source: Transactions of the American Mathematical Society

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