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TMF, 1995, Volume 102, Number 2, Pages 247–257 (Mi tmf1264)  

Difference Schrödinger equation and $q$-oscillator model

Sh. M. Nagiyev

Institute of Physics Azerbaijan Academy of Sciences

Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1995, 102:2, 180–187

Bibliographic databases:

Received: 16.12.1993
Revised: 29.08.1994

Citation: Sh. M. Nagiyev, “Difference Schrödinger equation and $q$-oscillator model”, TMF, 102:2 (1995), 247–257; Theoret. and Math. Phys., 102:2 (1995), 180–187

Citation in format AMSBIB
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\by Sh.~M.~Nagiyev
\paper Difference Schr\"odinger equation and $q$-oscillator model
\jour TMF
\yr 1995
\vol 102
\issue 2
\pages 247--257
\mathnet{http://mi.mathnet.ru/tmf1264}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1350272}
\zmath{https://zbmath.org/?q=an:0853.39009}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 2
\pages 180--187
\crossref{https://doi.org/10.1007/BF01040399}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995RQ88800008}


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