Generalized Uncertainty Principle Corrections to the Simple Harmonic   Oscillator in Phase Space
  We compute Wigner functions for the harmonic oscillator including corrections from generalized uncertainty principles (GUPs), and study the corresponding marginal probability densities and other properties. We show that the GUP corrections to the Wigner functions can be significant, and comment on their potential measurability in the laboratory. 
Saurya Das, Matthew P. G. Robbins, Mark A. Walton
gr-qc hep-th quant-ph