Wigner distribution functions for a relativistic linear oscillator. (English. Russian original) Zbl 1085.81508
Theor. Math. Phys. 114, No. 3, 322-334 (1998); translation from Teor. Mat. Fiz. 114, No. 3, 410-425 (1998).
Summary: We construct the Wigner representation for a relativistic model of a linear harmonic oscillator described by a finite-difference equation. We find Wigner functions for stationary states, thermodynamic equilibrium states, and coherent states. We consider their nonrelativistic limits and high- and low-temperature limits for equilibrium states. We compute the mean values of the coordinate and momentum of these Wigner functions.
MSC:
| 81S30 | Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics |
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