Polynomial Algebras and their Applications
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Quantum Physics
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
Cite
@article{arxiv.math-ph/0308026,
title = {Polynomial Algebras and their Applications},
author = {Bindu A. Bambah},
journal= {arXiv preprint arXiv:math-ph/0308026},
year = {2007}
}
Comments
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