Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric $gl(2)$ quantizations
Ballesteros, Angel ; Herranz, Francisco J. ; Parashar, Preeti
arXiv, 9809003 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-09-01
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{9809003,
     author = {Ballesteros, Angel and Herranz, Francisco J. and Parashar, Preeti},
     title = {Quantum harmonic oscillator algebras as non-relativistic limits of
  multiparametric $gl(2)$ quantizations},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809003}
}

Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti. Quantum harmonic oscillator algebras as non-relativistic limits of
  multiparametric $gl(2)$ quantizations. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809003/