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

Loading [MathJax]/jax/output/CommonHTML/jax.js

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 2, Pages 247–257 (Mi tmf1264)

This article is cited in 9 scientific papers (total in 9 papers)

Difference Schrödinger equation and

$q$ -oscillator model

Sh. M. Nagiyev

Institute of Physics Azerbaijan Academy of Sciences

Full-text PDF (862 kB) Citations (9)

References:

PDF

HTML

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.

Received: 16.12.1993
Revised: 29.08.1994

English version:
Theoretical and Mathematical Physics, 1995, Volume 102, Issue 2, Pages 180–187
DOI: https://doi.org/10.1007/BF01040399

Bibliographic databases:

Language: Russian

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

\Bibitem{Nag95}

\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://mathscinet.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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ88800008}

Linking options:

https://www.mathnet.ru/eng/tmf1264

https://www.mathnet.ru/eng/tmf/v102/i2/p247

This publication is cited in the following 9 articles:

E. I. Jafarov, “Description of the Bluffing Phenomenon in the Untrusted Seller–Buyer Relationship via the Wigner Function of the q-Deformed Quantum Harmonic Oscillator Model”, Studies in Microeconomics, 2024
S.M. Nagiyev, E.I. Jafarov, “On the construction of the coherent states of the semiconfined harmonic oscillator with a position-dependent effective mass”, J. Phys.: Conf. Ser., 2912:1 (2024), 012017
H. Fakhri, M. Refahinozhat, “Coherent states attached to the quantum disc algebra and their associated polynomials”, Int. J. Geom. Methods Mod. Phys., 18:05 (2021), 2150078
H. Fakhri, S. E. Mousavi Gharalari, “Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states”, Int. J. Geom. Methods Mod. Phys., 17:02 (2020), 2050021
Shakir M. Nagiyev, Konul Sh. Jafarova, “Relativistic quantum particle in a time-dependent homogeneous field”, Physics Letters A, 377:10-11 (2013), 747
R. S. Costas-Santos, F. Marcellán, “q-Classical Orthogonal Polynomials: A General Difference Calculus Approach”, Acta Appl Math, 111:1 (2010), 107
S.M. Nagiyev, S.I. Guliyeva, “Relativistic quantum particle in a homogeneous external field”, Physics Letters A, 373:32 (2009), 2810
E I Jafarov, S Lievens, S M Nagiyev, J Van der Jeugt, “The Wigner function of aq-deformed harmonic oscillator model”, J. Phys. A: Math. Theor., 40:20 (2007), 5427
R Álvarez-Nodarse, R S Costas-Santos, “Factorization method for difference equations of hypergeometric type on nonuniform lattices”, J. Phys. A: Math. Gen., 34:27 (2001), 5551

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	410
Full-text PDF :	195
References:	56
First page:	2

Что такое QR-код?

Registration to the website

Logotypes