Polynomial Algebras and their Applications
classification
🧮 math-ph
hep-thmath.MPmath.QAquant-ph
keywords
algebrasapplicationsdifferentquantumclassesclassifyconstructconstructed
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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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