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Some properties of the smoothed Wigner function

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  • Soto, Francisco
  • Claverie, Pierre

Abstract

Recently it has been proposed a modification of the Wigner function which consists in smoothing it by convolution with a phase-space gaussian function; this smoothed Wigner function is non-negative if the gaussian parameters Δ and δ satisfy the condition Δδ ⩾ ħ. We analyze in this paper the predictions of this modified Wigner function for the harmonic oscillator, for anharmonic oscillator and finally for the hydrogen atom. We find agreement with experiment in the linear case, but for strongly nonlinear systems, such as the hydrogen atom, the results obtained are completely wrong.

Suggested Citation

  • Soto, Francisco & Claverie, Pierre, 1981. "Some properties of the smoothed Wigner function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(1), pages 193-207.
    • Handle: RePEc:eee:phsmap:v:109:y:1981:i:1:p:193-207
    DOI: 10.1016/0378-4371(81)90044-3
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