Kerimov, G. A.2024-06-122024-06-1220071751-81131751-8121https://doi.org/10.1088/1751-8113/40/26/014https://hdl.handle.net/20.500.14551/25246The nonrelativistic quantum scattering problem for a non-central potential which belongs to a class of potentials exhibiting an 'accidental' degeneracy is studied. We show that the scattering system under consideration admit the Lie algebra 50(5, 1) as the potential algebra. The scattering amplitude is then evaluated using purely algebraic techniques to give the closed result. It is expressed in terms of associated Legendre functions.en10.1088/1751-8113/40/26/014info:eu-repo/semantics/closedAccessPath-Integral SolutionSolvable PotentialsAlgebraic ApproachMatrix-ElementsGreen-FunctionRingSystemsSymmetryParticleMotionArticle402672977308Q2WOS:0002471898000232-s2.0-34250647493Q2