2003•arXiv (Cornell University)Open access
Polynomial Algebras and their Applications
Bindu A. Bambah
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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
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