Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Quantum Physics
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.
Keywords
Cite
@article{arxiv.math-ph/0002001,
title = {Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications},
author = {C. Daskaloyannis},
journal= {arXiv preprint arXiv:math-ph/0002001},
year = {2007}
}
Comments
14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, Turkey