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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 3, Pages 410–425
DOI: https://doi.org/10.4213/tmf849 (Mi tmf849) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Wigner distribution functions for a relativistic linear oscillator

N. M. Atakishiyeva, Sh. M. Nagiyevb, K. B. Wolfc

a National Autonomous University of Mexico, Institute of Mathematics
b Institute of Physics Azerbaijan Academy of Sciences
c National Autonomous University of Mexico, Center of Physical Sciences
Full-text PDF (347 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf849
Abstract: We construct the Wigner representation for a relativistic model of the linear harmonic oscillator governed by a finite-difference equation. We find Wigner functions for the stationary states, the thermodynamic equilibrium states, and the coherent states. We examine their nonrelativistic limits and the high and low temperature limits for the equilibrium states. We compute the mean values of the position and momentum coordinates for these Wigner functions.
Received: 21.07.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 3, Pages 322–334
DOI: https://doi.org/10.1007/BF02575445
Bibliographic databases:
Language: Russian
Citation: N. M. Atakishiyev, Sh. M. Nagiyev, K. B. Wolf, “Wigner distribution functions for a relativistic linear oscillator”, TMF, 114:3 (1998), 410–425; Theoret. and Math. Phys., 114:3 (1998), 322–334
Citation in format AMSBIB
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\by N.~M.~Atakishiyev, Sh.~M.~Nagiyev, K.~B.~Wolf
\paper Wigner distribution functions for a~relativistic linear oscillator
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\vol 114
\issue 3
\pages 410--425
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\crossref{https://doi.org/10.4213/tmf849}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1840308}
\zmath{https://zbmath.org/?q=an:1085.81508}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 114
\issue 3
\pages 322--334
\crossref{https://doi.org/10.1007/BF02575445}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075184200007}
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  • https://doi.org/10.4213/tmf849
  • https://www.mathnet.ru/eng/tmf/v114/i3/p410
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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