arXiv:math-ph/0002001 Abstract

arXiv:math-ph/0002001Abstract References Reviews Resources

Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications

Published 2000-02-02Version 1

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.

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

Categories: math-ph, math.MP, math.QA, nlin.SI, quant-ph

Subjects: 81R05, 81S05

Keywords: finite dimensional representations, generators, application, deformed parafermionic oscillator algebra, associative quadratic algebras

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