Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric gl(2) quantizations
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algebrasquantumbialgebraharmonicmultiparametricnon-relativisticoscillatoraccording
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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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