This article is cited in 13 papers

Wigner distribution functions for a relativistic linear oscillator

N. M. Atakishiyev^a, Sh. M. Nagiyev^b, K. B. Wolf<sup>c

a</sup> 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

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

DOI: 10.4213/tmf849

 English version: Theoretical and Mathematical Physics, 1998, 114:3, 322–334

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