Kerimov, GA2024-06-122024-06-1219980031-9007https://doi.org/10.1103/PhysRevLett.80.2976https://hdl.handle.net/20.500.14551/25049Quantum scattering systems described by Hamiltonians which are constructed from the Casimir operators of certain noncompact groups G are considered. We obtain the following result: If U-chi and C(<(chi)over bar>) are the Weyl-equivalent representations of the symmetry group G of the dynamical system, the corresponding S matrices are constrained to satisfy SUchi(g) = U(<(chi)over bar>)(g)S, for all g is an element of G. This relation enables one to derive S. As applications, the S matrices corresponding to the dynamical groups SO0(p,q) are derived.en10.1103/PhysRevLett.80.2976info:eu-repo/semantics/closedAccessHeavy-Ion ReactionsIntertwining-OperatorsSemisimple GroupsLie-AlgebrasPotentialsArticle801429762979Q1WOS:0000729605000032-s2.0-0347291328Q1