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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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Theoretical and Mathematical Physics, 1995, 102:2, 180–187
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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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\paper Difference Schr\"odinger equation and $q$-oscillator model
\jour TMF
\yr 1995
\vol 102
\issue 2
\pages 247--257
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\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 2
\pages 180--187
\crossref{https://doi.org/10.1007/BF01040399}
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http://mi.mathnet.ru/eng/tmf1264 http://mi.mathnet.ru/eng/tmf/v102/i2/p247
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