Polynomial Algebras and their Applications
arXiv:math-ph/0308026
Abstract
A way to construct and classify the three dimensional polynomially deformed algebras is given and the irreducible representations is presented. for the quadratic algebras 4 different algebras are obtained and for cubic algebras 12 different classes are constructed. Applications to quantum mechanical systems including supersymmetric quantum mechanics are discussed
Invited talk at "The International conference on Supersymmetric Quantum Mechanics, Valladolid Spain (July 15-20, 2003),. Work done with Dr. V. SuniKumar IOP, Bhubaneshwar and Prof. R. Jagannathan, IMSC, Chennai. 12 pages LATEX with JHEP3.cls Macro included