QUANTUM HARMONIC OSCILLATOR ALGEBRAS AS NON-RELATIVISTIC LIMITS OF MULTIPARAMETRIC gl(2) QUANTIZATIONS*)

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Abstract

Multiparametric quantum gl(2) algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.

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