Polynomial Algebras and their Applications

Details Polynomial Algebras and their Applications Polynomial Algebras and their Applications

2003-08-22

arxiv.org/abs/math-ph/0308026v1

Physics

Mathematical Physics

Invited talk at "The International conference on Supersymmetric Quantum Mechanics, Valladolid Spain (July 15-20, 2003),. Work

Scientific paper

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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