Isik, YaseminSezgin, Mehmet2024-06-122024-06-122021978-0-7354-4069-20094-243Xhttps://doi.org/10.1063/5.0040363https://hdl.handle.net/20.500.14551/252925th International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 23-30, 2020 -- Mersin, TURKEYThe generators of the quasi-regular representation of the group SO(3,2) are obtained for parabolic coordinates. By the generators, the expression of the quadratic Casimir operator is presented. From the relation between the Casimir operator and Hamiltonian, the corresponding physical system is expressed, and its exact solution is given.en10.1063/5.0040363info:eu-repo/semantics/closedAccessPotentialsEquationConference Object2325N/AWOS:0006537346000372-s2.0-85101641825N/A