Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2000
- DOI:
- 10.48550/arXiv.math-ph/0002001
- arXiv:
- arXiv:math-ph/0002001
- Bibcode:
- 2000math.ph...2001D
- Keywords:
-
- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Mathematics - Quantum Algebra;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Quantum Physics;
- 81R05;
- 81S05
- E-Print:
- 14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, Turkey