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

Angel Ballesteros·Francisco J. Herranz·Preeti Parashar
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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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Angel Ballesteros, Francisco J. Herranz, Preeti Parashar. 1998-09-01. Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric $gl(2)$ quantizations. https://doi.org/10.1023/a%3A1021677827430

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