Kerimov, GA2024-06-122024-06-1220020375-9601https://doi.org/10.1016/S0375-9601(02)00072-5https://hdl.handle.net/20.500.14551/24746Class of one-dimensional many-body scattering systems related to semi-simple Lie groups G is studied. The Hamiltonians of these systems are expressed in terms of Casimir operators of underlying symmetry groups G. It turns out that the S-matrix for all these problems is related to the intertwining operators for groups G. This connection provide's immediately the functional form of the S-matrix. Moreover, this connection allows to prove that the multi-particle S-matrix elements can be expressed in terms of two-particle ones. (C) 2002 Elsevier Science B.V. All rights reserved.en10.1016/S0375-9601(02)00072-5info:eu-repo/semantics/closedAccessAlgebrasArticle2945-6278286Q2WOS:0001750881000052-s2.0-0037018073Q2