Polynomial Algebras and their Applications

2003/08/22 by Bindu A. Bambah, Bambah, Bindu A.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Polynomial and algebraic computation #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #math.QA #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0308026

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

arxiv created 2003/08/22 · openalex publication_date 2003/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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