73 citations · 638 across the 41 of their papers we have counts for
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math-ph2012★ 12 cited
Algebraic special functions and so(3,2)
E. Celeghini, M. A. del Olmo
A ladder structure of operators is presented for the associated Legendre polynomials and the spherical harmonics showing that both belong to the same irreducible representation of…
math-ph2012★ 19 cited
Pisot q-Coherent states quantization of the harmonic oscillator
J. P. Gazeau, M. A. del Olmo
We revisit the quantized version of the harmonic oscillator obtained through a q-dependent family of coherent states. For each q, 0< q < 1, these normalized states form an overcomp…
math-ph2012★ 23 cited
Coherent Orthogonal Polynomials
E Celeghini, Mariano A del Olmo
We discuss as a fundamental characteristic of orthogonal polynomials like the existence of a Lie algebra behind them, can be added to their other relevant aspects. At the basis of…