Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

Details Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

2000-02-02

arxiv.org/abs/math-ph/0002001v1

Physics

Mathematical Physics

14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, Turkey

Scientific paper

The 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.

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