Kerimov, GASezgin, M2024-06-122024-06-1219980305-4470https://doi.org/10.1088/0305-4470/31/39/007https://hdl.handle.net/20.500.14551/25104Scattering systems related to the noncompact groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. The S-matrix far such systems are defined in terms of an intertwining operator of underling symmetry group G. The S-matrices for one-dimensional scattering systems with SO(2, 1) symmetry group are classified.en10.1088/0305-4470/31/39/007info:eu-repo/semantics/closedAccessIntertwining-OperatorsIntegrable SystemsAlgebraic ApproachSemisimple GroupsLie-AlgebrasArticle313979017912Q2WOS:0000764941000072-s2.0-0032475794N/A