Difference Schr\"odinger equation and $q$-oscillator model
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 247-257

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A model of $q$-oscillator, wave functions of which in the relativistic configurational $x$-space are expressed through the $q$-Hermite–Szegö polynomials and in the momentum $p$-space – through the Stieltjes–Wigert polynomials is considered. Some properties of the $q$-Hermite–Szegö polynomials are studied.
@article{TMF_1995_102_2_a7,
     author = {Sh. M. Nagiyev},
     title = {Difference {Schr\"odinger} equation and $q$-oscillator model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {247--257},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a7/}
}
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Sh. M. Nagiyev. Difference Schr\"odinger equation and $q$-oscillator model. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 247-257. http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a7/