Geodesic
A~realization fo the $q$-harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 1, pp. 154-156

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It is shown that factorization of the difference equation for the Stieltjes–Wigert polynomials leads to a new explicit realization for the $q$-harmonic oscillator. 
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     title = {A~realization fo the $q$-harmonic oscillator},
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N. M. Atakishiyev; S. K. Suslov. A~realization fo the $q$-harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 1, pp. 154-156. http://geodesic.mathdoc.fr/item/TMF_1991_87_1_a14/