Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56482The finite dimensional representations of associative quadratic algebras with three generators are investigated by using a technique based on the deformed parafermionic oscillator algebra. One application on the calculation of the eigenvalues of the two-dimensional superintegrable systems is discussed.14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, TurkeyMathematical PhysicsQuantum AlgebraExactly Solvable and Integrable SystemsQuantum Physics81R05 ;81S05Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applicationstext