Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space

Abstract

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.

minor revisions; included journal reference

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