On the Wigner function of the relativistic finite-difference oscillator in an external field

Physics – Mathematical Physics

Scientific paper

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12 pages, 6 figures, IOP styled LaTeX, to be published in Journal of Physics A

Scientific paper

10.1088/1751-8113/42/45/454015

The phase-space representation for a relativistic linear oscillator in a
homogeneous external field expressed through the finite-difference equation is
constructed. Explicit expressions of the relativistic oscillator Wigner
quasi-distribution function for the stationary states as well as of states of
thermodynamical equilibrium are obtained and their correct limits are shown.

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